Department of Physics Isfahan University of Technology



Department of Physics Isfahan University of Technology

The Department of Physics, starting its activities in 1977, offers the degrees of Bachelor of Science (B.Sc.), the Master of Science (M.Sc.) and the Doctor of Philosophy (Ph.D.).

For non-physics students, the department also offers Basic Physics 1 (Mechanics and Heat),    Basic Physics 2 (Electricity and Magnetism), General Phys. Lab.1 and General Physics Lab.2.

 

 

Research Activities

The research interests of the department are mainly focused on the fields of Computational Condensed Matter Physics, Nuclear Physics, High Energy Physics, Mathematical Physics and Experimental Solid State Physics.

Since 2003, IUT Department of Physics has been acting as an Affiliated Center of Abdus Salam International Center for Theoretical Physics and Mathematics (ICTP).

Accordingly, the department hosts several physicists from regional countries every year. The visitors engage in joint research projects during the 1-3 months periods at IUT.

Computational Condensed Matter Physics

This group is involved in the study of structural, electronic, magnetic and dynamic properties of crystals by ab-initio methods. These methods are based on minimizing the total energy techniques by using density functional and full potential as well as pseudo potential approaches. Wien2k, which is based on FP-LAP approach, and also PWscf as a pseudo potential code are the two software extensively used in this group.

Nuclear Physics

Nuclear fusion and the transport of nuclear radiation in matter are the main subjects under consideration.

Nuclear fusion is studied by the following methods:

 

Inertial Confinement Fusion (ICF), Magnetic Confinement Fusion (MCF) and Muon Catalyzed Fusion. In these methods, targets and blankets are designed and kinetics of fusion and the parameters that increase fusion gain are investigated.

The transport of nuclear radiation in matter is simulated by the method of Monte-Carlo and quantities of interest such as absorbed does values in soft and hard tissues and also exposure build up factors are calculated.

High Energy Physics and Mathematical Physics

 The main research subjects in this area consist of the constrained systems, Ads/CFT correspondence, supersymmetry quantum mechanics and topological symmetries, non-commutative space-time and its phenomenological aspects, weak decay and mass spectroscopy of heavy hadrons.

Experimental Solid State Physics

The group is mainly involved in the studies of high temperature superconductivity and magnetic properties of materials. Preparation of Bi and Y based high temperature superconductors and the measurement of their magnetic susceptibility, resistivity and critical current are also performed. The magnetic properties of materials such as different types of ferrites and the characterization of samples by X-ray and electron microscopic techniques are among other topics of research. A joint project has been recently started on the preparation of superconductors as well as dielectric thin films and the measurement of their magnetic and transport properties.

Research Facilities

 The range of equipment available at the department is varied, the most important of which are as follows:

- AC-Susceptometer & AC-Resistivity measurement

 - 1.2T Electromagnet (B. Mn 90/30 C5)

 - Programmable tube and cubic furnaces

 - X-Ray generator

 - Debye-Scherre and Laue cameras

 - Scanning Electron Microscope

 - X-ray Differactometer

 

Educational Labs

 

  • Basic physics lab. I (Mechanics lab. For physics students)
  • Basic physics lab.II (Electricity lab. For physics students)
  • Basic physics lab.III  ( Heat, light and waves For physics students)
  • General physics lab.I (Heat and Mechanics For Engineering students) 
  • General physics lab.II (Electricity lab. For Engineering students) 
  • Physics modern lab.
  • Optic lab.
  • Nuclear physics lab.
  • Solid state physics lab.
  • Electronics lab.
  • Complementary physics lab.

 

 

Research Labs

 

·         Research Magnet lab.

·         Sample preparation lab.

·         Thin film research lab.

·         Super conductor lab.

·         Computational condensed matter research lab.

 

UNDERGRADUATE PROGRAM

 

 Undergraduate students must take 135 Credits as follows:

a)      20 credits from General Courses.

b)      33 credits of Basic courses (Mathematics, Basic Physics, Chemistry and Computer Sciences).

 c) 71 credits as  Main physics courses (Classical Mechanics, Electromagnetism 1 & 2, Modern Physics, Thermodynamics, Statistical  Mechanics, Mathematical Physics 1& 2, Quantum Mechanics 1 & 2, Optics, Solid State Physics, Nuclear Physics , Special Relativity, Computational Physics, Elementary Particle Physics, Reactor Physics, Electronics, Particle Accelerators, Superconductivity, Crystallography, Semiconducting Devices, Radiation Detectors, ...)

 d) Optional Courses (11 Credits)

 Physics students may take 11 credits in other fields of physics or may take them at other departments.

 

 

 UNDERGRADUATE  COURSES

 

 Curriculum for the Degree of Bachelor of Science (B.Sc.) in Physics,

 Major: Solid State Physics / Nuclear Physics

 

 

Semester I (Fall)

 

COURSE CODE

COURSE TITLE

CREDITS

1914101

Calculus 1

4

2010110

Basic Physics I

4

2110101

General Chemistry I

3

2010111

Basic Physics Lab. I

1

2110104

General Chemistry Lab. I

1

General Courses

4

 

 

Semester II (Spring)

 

COURSE CODE

COURSE TITLE

CREDITS

1914102

Calculus II

4

2010120

Basic Physics II

4

2010122

Basic Physics III

4

2010121

Basic Physics Lab. II

1

2010123

Basic Physics Lab. III

1

General Courses

3

 

 

Semester III (Fall)

 

COURSE CODE

COURSE TITLE

CREDITS

2010210

Analytical Mechanics I

3

2010214

Modern Physics

4

1914251

Differential Equations

3

2010412

Electronics

4

2010224

Physics Modern Lab.

1

General Courses

2

 

 

Semester IV(Spring)

 

COURSE CODE

COURSE TITLE

CREDITS

2010216

Math. Physics I

3

2010220

Analytical Mechanics II

3

2010212

Thermodynamics

4

1730150

Computer Science and Programming

3

2010413

Electronics Lab.

1

2010226

English Language for Physics Students

1

General Courses

1

 

 

Semester V (Fall)

 

COURSE CODE

COURSE TITLE

CREDITS

2010312

Math. Physics II

3

2010228

Quantum Mechanics I

3

2010310

Electromagnetism I

3

2010222

Statistical Mechanics

3

2410101

Workshop

1

General Courses

4

 

 

Semester VI(Spring)

 

COURSE CODE

COURSE TITLE

CREDITS

2010316

Quantum Mechanics II

3

2010320

Electromagnetism II

3

2014322

Nuclear Physics I

3

2012324

Solid State Physics I

3

2014323

Nuclear Physics Lab.

1

General Courses

4

 

 

Semester VII (Fall)

 

COURSE CODE

COURSE TITLE

CREDITS

2010410

Modern Optics

3

2010314

Relativity

3

2012411

Optics Lab.

1

2012423

Crystallography

3

2014418

Semiconductor Devices

3

2014416

Reactor Physics I

3

2014420

Nuclear Physics II

3

-

General Courses

2

 

 

Semester VIII(Spring)

 

COURSE CODE

COURSE TITLE

CREDITS

2016414

Elementary Particles

3

2010426

Computational Physics

3

2012417

Solid Stale Physics II

3

2012424

Superconductivity

3

-------

Electronics II

3

2014422

Reactor Physics II

3

2014415

Radiation Detectors

3

 

 

Elective Courses

 

COURSE CODE

COURSE TITLE

CREDITS

20467

Vacuum Technology

3

2010480

Group Theory

3

2010432

Mathematical Physics III

3

2010277

Waves

3

2010319

History of Science

2

2016487

Particle Accelerators

2

2010474

Astrophysics

3

2014421

Nuclear Radiation Protection

2

 

 

 

 UNDERGRADUATE  COURSE  DESCRIPTIONS

 

 2010118    General Physics (for Agriculture students)          2 Cr.       Motion, fluid mechanics,
 the laws of gases, temperature, heat transfer, light properties, spectroscopy, radioactivity.

 

2010119                General Physics Lab. (for Agriculture students)      1 Cr.                       Measurement of density, surface tension, heat conduction, specific heat, calorimetry, the thermal expansion.

 

 2010101   General Physics (Mechanics)    2 Cr.                       Vectors, motion in one and two dimensions, dynamics of a particle, work and energy, conservation of linear momentum, collisions, rotational kinematics and dynamics, oscillations.

 

 2010103   General Physics (Heat)                2 Cr.      Fluid mechanics, heat and first law of thermodynamics, kinetic theory of gases, entropy and second law of thermodynamics.

 

 2010110   Basic Physics I              4 Cr.                       Vectors, motion in one and two dimensions, dynamics of a particle, work and energy, conservation of linear momentum, collisions, rotational dynamics, fluid mechanics, heat and the first law of thermodynamics, kinetic theory of gases, entropy and second law of thermodynamics.

 

 2010120 Basic Physics II               4 Cr.                       Coulomb's law, electric field, Gauss law, electric potential, capacitors, electromotive force and circuits, magnetic field, Amper's law, Faraday's law and induction, Electromagnetic waves, wave in elastic media, sound waves, electromagnetic waves. geometrical optics, interference, diffraction.

 Prerequisite : Basic Physics I 20109

 

 2010116     Gen. Physics Lab. (Heat)           1 Cr.                       Thermal expansion, heat conduction, specific heat, calorimetry, the mechanical equivalent of heat, surface tension.

 

 20115   Basic Physics II 4 Cr.                       Charge and matter, electric field, Gauss' law, electrostatic potential, capacitors and dielectrics, electric current and resistance, EMF and circuits, magnetic fields, Ampere's law, induction, Faraday's law, magnetic properties of matter, electromagnetic oscillations, alternative currents, maxwell's equations, electromagnetic waves.

Prerequisite : Basic Physics I 20114

 

 2010111  Basic Physics Lab. (Mechanics)                1 Cr.                       Measurements of length, angle, etc, force constant of spring and determination of g, coefficients of friction, verification of Newton's laws, elastic and inelastic collisions, conservation of angular momentum, moment of inertia.

 

2010121    Basic Physics Lab. (Electricity)                1 Cr.                       Measurement of resistivity, verification of Ohm's and Kirchhoff's laws, study of capacitors and EMF, hysteresis curves, R-C and R-L circuits, application of oscilloscope, Biot and Savart's law.

 

2010122    Basic Physic III               4 Cr.                       Waves in elastic media, sound waves, temperature, heat and the first law of thermodynamics, kinetic theory of gases, entropy and the second law of thermodynamics, electromagnetic waves, geometrical optics, interference, diffraction.

Prerequisite : Basic Physics I 20114

 

2010123    Basic Physics Lab. (Waves, Heat and Light)         1 Cr.      Sound waves and    vibrating strings, standing waves, geometrical optics, reflection and refraction laws. Concave and convex mirrors and lenses. Spectroscope and microscope, thermal expansion, heat conduction, specific heat, calorimetry, the mechanical equivalent of heat.

Prerequisite : Basic Physics III 20128

 

2010104    General Physics (Electricity and Magnetism)       2 Cr.                       Coulomb's law, electric field, Gauss' law, electric potential, capacitors, electromotive force and circuits, magnetic field, Ampere's law, Faraday's law.

 Prerequisite : General Physics (Mechanics) 20101

 

 2010219    General Physics (Waves)           2 Cr.                       Oscillations, waves in elastic media, sound waves, electromagnetic waves, geometrical optics, interference, diffraction.

Prerequisite : General Physics 20203

 

 2010319    History of Science        2 Cr.                       Physics in ancient times, physics in the middle ages (special contribution from moslem's world ), physics after nineteen century, modern physics.

 

 2010126    General Physic Lab. (Electricity)              1 Cr.                       Measurement of resistivity, verification of Ohm's and Kirchhoff's laws, study of capacitors, hysteresis curves, R-C and R-L circuits, oscilloscope, Biot and Savart's law.

 

 2010226     English Language for Physics Students               2 Cr.      Reading and analysis of some physics texts in english, writing short physics articles in english.

Prerequisite : 25510

 

2010216    Mathematical Physics I                3 Cr.      Vector Analysis, coordinate systems, tensor analysis, discrete groups and continuous groups, groups representation, infinite series, second order differential equations, linear spaces, matrix operations and determinants.

Prerequisite s: Calculus II 19102, Differential equation 19201

 

 2010412    Electronics     4 Cr.      Semiconductors, diode circuits, rectifiers, transistor characteristics, transistor as an amplifier, transistor configurations, Thevenin's and Norton's theorems, oscillator circuits. Prerequisite : Basic Physics II 20123

 

 2010413     Electronics Lab.           1 Cr.       Introducing the electronic instruments, oscil-loscope, signal generators, rectifiers, low, high and band pass filters, semiconductor diodes, construction of power sources, the transistor, amplifier with negative and positive feed- back.

 Prerequisite : Basic Physics Lab (Electricity) 20126

 

 2010210     Analytical Mechanics I               3 Cr.                       Newtonian mechanics, motion of particles in one, two and three dimensions, motion of a system particles, rigid bodies motion.

 Prerequisite : Basic Physics I 20114

 

 2010214     Modern Physics           4 Cr.                       Limitation of classical physics, relativistic kinematics ( space and time), relativistic dynamics (momentum and energy), wave aspects of material particles, particle aspects of electromagnetic radiation, the structure of hydrogen atom, many- electron atoms.

 Prerequisites: Basic Physics II 20123; Basic Physics III 20128

 

2010212    Thermodynamics          4 Cr.      Thermodynamic systems and ideal gas, first and second laws of thermodynamics, reversibility and irreversibility, Carnot's cycle, entropy, properties of pure substances and phase changes, Maxwell-Boltzmann and Fermi-Dirac statistics.

Prerequisite : Basic Physics III 20128

 

2010224   Physics Modern Lab.     1 Cr.      Michelson - Morly Experiment, Franck-Hertz x-ray absorption, Zeeman effect, specific charge of the electron, Stern-Gerlach's experiment, compton effect, photoelectric effect, Planck's constant, black body radiation, Balmer series of Hydrogen line spectrum, Milikan experiment.

 

 2010277   Waves               3 Cr.                       Simple harmonic vibrating systems, normal modes of oscillating systems with finite and infinite degrees of freedom, forced oscillations, traveling waves, boundary conditions, reflection and refraction, wave packets, phase and group velocities.

Prerequisite: Basic Physics II 20123

 

 2010312    Mathematical Physics II              3 Cr.      Complex functions: analytic properties, conformal mapping, calculus of residues, Sturm-Liouville theory, linear space and operators, orthogonal functions, Fourier Series, calculus of variation.

 Prerequisite: Mathematical Physics I 20217

 

 2010371    Electromagnetism I      3 Cr.                       Review of differential and integral calculus, electrostatic, Coulomb's and Gauss' laws, Poison and Laplace equations, boundary value equations, dielectrics, polarizations, magnetic fields, Biot-savart's law, Amper's law, vector potential.

Prerequisite: Basic Physics II 20123

 

 2010373     Electronic Physics      3 Cr.                       Energy bands, carrier concentration, carrier transport phenomena, p-n junctions, bipolar devices, unipolar devices, microwave devices, photonic devices. Prerequisite: 17222

 

 2010374    Analytical Mechanics II               3 Cr.      Statics, gravitation, moving coordinates, Lagrange's Eqs, Hamilton's Eqs, inertia and stress tensors, rotation of rigid bodies, Euler's Eqs, small vibration.

Prerequisite: Analytical Mechanics I 20223

 

 2010222    Statistical Mechanics  3 Cr.      Entropy, temperature, Boltzman distribution function, ideal gas, fermion gas, boson gas, heat and work, phase transitions, kinetic theory of gases.

Prerequisite: Thermodynamics 20230

 

 2010280     Quantum Mechanics I 3 Cr.                       The limits of classical physics, wave packet and uncertainty relations, schrodinger equation, general structure of quantum mechanics, angular momentum, the radial schrodinger equation.

Prerequisites: Modern Physics 20229; Analytical Mechanics II 20311

 

 2014322     Nuclear Physics I        3 Cr.      Binding energy, liquid drop model, semi- empirical mass formula, shell model, energy levels of nuclides, charge symmetry and charge independence of nuclear forces, interactions of nuclear radiations with matter, interactions of charged particles with matter, interactions of neutron with matter, radioactive decays.

Prerequisite : Quantum Mechanics I 20314

 

 2014323     Nuclear Physics Lab. 1 Cr.      Measurement techniques with G.M. counters, measurement of resolution time of G.M. counters, statistical distribution of nuclear radiations, verification of the inverse square law, Gamma ray absorption, Gamma spectroscopy.

Prerequisite: Nuclear Physics I 20315

 

 2010281     Basic Computer Science and Programming       3 Cr.      Computer organi- zation, machine language, flowcharting, algorithms, data structure, a programming language such as FORTRAN.

 

 2010228     Electromagnetism II    3 Cr.      Magnetization, magnetic dipoles, electromotive force, induction, Maxwell's equations, gauge transformation, wave equations, radiations, relativistic electrodynamics.

 Prerequisite: Electromagnetism 20293

 

2010747     Astrophysics 3 Cr.                       The sun, double stars, the birth of stars, star clusters, evolution and death of old stars, the milky way galaxy, galaxies, structure and evolution of the universe, the big bang.

Prerequisite: Analytical Mechanics I 20223

 

 2010376     Quantum Mechanics II                3 Cr.                       Hydrogen atom, operator spin and angular momentum addition, perturbation theory, real hydrogen atom, helium atom, structure of atoms, radiation of atom, scattering theory.

 Prerequisite: Quantum Mechanics I 20314

 

2012324    Solid State Physics I     3 Cr.      Crystal structures, scattering, reciprocal space, brillouan zones, lattice dynamics, thermal properties of solids, free electron in metals, band structure.

 Prerequisites: Statistical Mechanics 20312, Quantum Mechanics I 20314

 

 2010432     Mathematical Physics III            3 Cr.      Gamma function, Bessel functions, Legendre functions, special functions, integral transforms, and integral equations.

Prerequisite: Mathematical Physics II 20247.

 

 2010410    Modern Optics               3 Cr.      Maxwell's equations in scaler and vector forms, coherence and interference, Fraunhoffer and Fresnel diffractions, propagation of light in solid media.

 Prerequisites: Electromagnetism 20293; Basic Physics III 20128

 

2010411    Optics Lab.      1 Cr.      Interference and diffraction by lasers, linear, circular and elliptical polarizations, interference, diffraction gratings, dispersion, optical activity.

 

2010314     Relativity         3 Cr.                       Lorentz transformation and its consequence, relativistic kinematic and dynamics, Minkovskian geometry, four-vectors and tensors, Lorentz group, general relativity.

 Prerequisite: Modern Physics 20229; Analytical Mechanics I 20223

 

 2014416    Reactor Physics I         3 Cr.      Components of nuclear reactors, classification of reactors, decay of radioactive nuclei, neutron sources, neutron interactions, neutron diffusion theory.

Prerequisite: Nuclear Physics I 20315

 

 2014477     Nuclear Radiation Protection   2 Cr.                       Radiation dosimetry, biological effects of radiation, radiation protection guides, external radiation protection, internal radiation protection.

Prerequisite: Nuclear Physics I 20315

 

2014422    Reactor Physics II         3 Cr.                       The time-dependent reactor, reactor kinetics, control rods, temperature effects on reactivity, fission product poisoning, heat removal from nuclear reactors, heat generation in reactors, nuclear safety and environmental impact.

Prerequisite: Reactor Physics I 20421

 

2010480    Group Theory  3 Cr.      Basic group theory, group representations, continuous groups, weight diagrams, Young tableaux, selected examples in physics.

 Prerequisites: Mathematical Physics II 20247; Solid State Physics I 20322

 

 2012423     Crystallography           3 Cr.                       Geometry of crystals, stereographic projection, properties of x-rays, diffraction, experimental methods, orientation and quality of single crystals, determination of space groups, determination of crystal structure.

Prerequisite: Solid State Physics I 20322

 

 2012418   Physics of Semiconductor Devices I       3 Cr.      Energy bands, carrier concentration, carrier transport phenomena, p-n junctions, bipolar devices, unipolar devices, microwave devices, photonic devices.

 Prerequisite: Solid State Physics I 20322

 

 2012417     Solid State Physics II  3 Cr.                       Semiconductor solids, Fermi surface in metals, superconductivity, dielectric and ferroelectrics, magnetism, dislocations, optical properties of solids, plasmas, polarons.

 Prerequisite: Solid State Physics I 20322

 

 2014420     Nuclear Physics II       3 Cr.                       Cross-section, compound nuclear and direct reaction, optical model, nuclear fission, two nucleons systems, deuteron, nucleon- nucleon scattering, Yuakawa theory, strong and weak forces.

 Prerequisite: Nuclear Physics I 20315

 

 2014415     Radiation Detectors    3 Cr.      Interaction of radiation with matter, counting statistics and error prediction, gas detectors, scintillation detectors, semiconductor detectors, neutron detectors, spark chambers, Cerekov detectors, single and multi - channel pulse analyzors.

Prerequisite: Nuclear Physics I 20315

 

2010426    Computational Physics                3 Cr.      Advanced aspects of FORTRAN prog- ramming, numerical methods, simultaneous equations, numerical solution of differential equations, matrices, Monte Carlo and molecular dynamics simulation.

Prerequisites: Thermodynamics 20230, Computer Programming 18150

 

 2016482    Particle Accelerators  2 Cr.      Particle accelerators as a tool for nuclear research, the static accelerators, Van de Graft accelerators, Tandem accelerators, linear accelerators, the betatron, the cyclotron, the synchrocyclotron, the proton synchrotron, the electron synchrotron.

Prerequisite: Nuclear Physics I 20315

 

 2012424     Superconductivity and its Applications 3 Cr.                       Superconductivity and superfluidity properties, Meissner effect, thermodynamics properties of new phase, Ginzburg - Landau phenomonlogical theory, BCS theory and pairing mechanism, tunnelling and Josephson's effect, general properties of high temperature superconductivity.

Prerequisites: Solid State Physics II 20447

 

 2016414     Elementary Particles  3 Cr.      Some basic concepts, relativistic wave equations, Quarks and leptons symmetries, Feynman diagrams, gauge theories, introduction to QED, QCD and weak interactions.

 Prerequisite: Quantum Mechanics II 20321

 

 2012493     Vacuum Technology   3 Cr.      Vacuum pumps (mechanical pump, ion pump, sorption pump, diffusion pump, dray pump, roots pump), cold trap, vacuum gauge (Mc lead gauge, thermocouple gauge, thermistor gauge, ionization gauge), leak detectors.

Prerequisite: Solid State Physics I 20322

 

 

GRADUATE PROGRAM

 

 In M.Sc. program, every student will take 30 credits as follows:

 a) 13 credits as compulsory courses (Electrodynamics, Advanced Quantum Mechanics I & II, Advanced Statistical Mechanics I)

b) 9 credits as specialized courses (Advanced  Solid  state Physics I & II ,  Special topics in     condensed matter physics, Advanced  Nuclear Physics I & II , Special topics in nuclear physics, Advanced Particle Physics I & II and Special topics in particle physics)

 c)  Physics Seminar (2 Credits)

 d) M.Sc. Thesis (6 Credits)

 

The Ph.D. Program has already started in the academic year 1998. Every Ph.D. student will take 15 credits: Advanced Solid State Physics, Many Body Theory, Advanced Statistical Mechanics, Critical Phenomena, Advanced Condensed Matter Physics, Density Functional theory, Magnetic properties of materials,Advanced Nuclear Physics,Quantum Filed Theory 1 and 2, Advanced Elementary Particle Physics,…,1 credit as Ph.D Seminar and 20 credits as Ph.D Thesis.

 

 

GRADUATE COURSES

 

 Curriculum for the Degree of Master of Science (M.Sc.) in Physics

 Major: Solid State Physics

 

COURSE CODE

COURSE TITLE

CREDITS

20-12-513

Advanced Solid State Physics I

3

20-12-514

Advanced Solid State Physics II

3

20-12-718

Magnetic Properties of Materials

3

20-10-717

Physics of Manybody Systems I

3

20-12-714

Special Topics in condensed matter

3

 Note : Only 9 credits of the above courses are necessary for M.Sc. program.

 

 

 Curriculum for the Degree of Master of Science (M.Sc.) in Physics

 Major: Nuclear Physics

 

COURSE CODE

COURSE TITLE

CREDITS

20-14-515                         

Advanced Nuclear Physics I

3

20-14-516

Advanced Nuclear Physics II

3

20-14-517

Special Topics in nuclear physics

3

 

 

 Curriculum for the Degree of Master of Science (M.Sc.) in Physics,

 Major: Particle Physics

 

COURSE CODE

COURSE TITLE

CREDITS

20-16-526

Advanced Particle Physics I

3

20-16-702

Advanced Elementary Particles II

3

20-16-723

Special Topics in particle physics

3

 

 

 

GRADUATE COURSE  DESCRIPTIONS

20-10-501             Classical Mechanics        3 Cr.      A Summary of Newtonian mechanics, principle of least action, Lagrangian and Hamiltonian formulations, canonical transformations, Poison's brackets, Hamilton-Jacobi theory, introduction to classical field theory.

20-10-506             Advanced Quantum Mechanics I  3 Cr.                       Fundamental concepts: Kets. bras, and operators, measurements, observables and the uncertainty relations, quantum dynamics: the Schrodinger, Heisenberg and interaction pictures, propagators and Feynman path integrals, theory of angular momentum: Addition of angular momentum, symmetry in quantum mechanics.

 20-10-507            Advanced Quantum Mechanics II 3 Cr.      Approximation methods: perturbation theory, hydrogen like atoms, variational methods, energy shift and decay width, identical particles: permutation symmetry, 2 electron system, young tableaux, scattering theory: Born and Eikonal approximation, method of partial waves, identical particles and scattering and coulomb scattering.

Prerequisite: Advanced Quantum Mechanics I 20-10-506

20-10-510             Electrodynamics               4 Cr.                       Methods of solving electrostatic boundary value problems, Green functions, physics of dielectric media, magnetostatics, dynamics of electromagnetic fields, covariant formulation of electrodynamics, interactions of relativistic charged  particles and fields.

 20-10-512            Advanced Statistical Mechanics  3 Cr.                       The statistical basis of thermo- dynamics, elements of ensemble theory, the canonical ensemble, the grand canonical ensemble, formulation of quantum statistics, the theory of simple gases, ideal Bose systems, ideal Fermi systems.

 20-12-513            Advanced Solid State Physics I    3 Cr.      Free electron models, crystal structure, electron in a weak periodic potential, methods for calculating band structures, semiclassical models of electron dynamics, fermi surfaces, pseudopotential.

20-12-514             Advanced Solid State Physics II   3 Cr.      Beyond the independent electron approx, hartree approx, hartree Fock approx, exchange correlation, surface effects, cohesive energy, Lattice dynamics, magnetism.

Prerequisite: Advanced Solid State I 20-12-513

 20-14-515            Advanced Nuclear Physics I                         3 Cr.                      Nuclear reactions, reaction mechanisms, nuclear models, shell model, collective model.

 20-14-516            Advanced Nuclear Physics II        3 Cr.                       Nuclear orientation, nuclear forces, fundamental particles properties, classification, the weak and strong interactions, miscellaneous topics.

Prerequisite: Advanced Nuclear Physics I 20-14-515

20-16-526         Advanced Particle Physics 1

20-16-702          Advanced Elementary Particles II

 

Prerequisite: Advanced Particle Physics 1

 

 

20-10-717        Quantum Many-body course:

Second quantization for Bosons and Fermions, Perturbation theory and its failure for jellium model, Mean Field Theory,Equation of Motion (EOM),Interaction picture and Wick theorem, Feynman diagrams for impurity scattering,Feynman diagrams for electron gas, Fermi liquid theory, Digression on other many-body techniques,

 

20-10-724         Advanced Mathematical Physics

 Mathematical Preliminaries, Homology Groups, Homotopy Groups, Manifolds, De Rham Cohomology Groups,  Riemannian Geometry, Complex Manifolds.

 

20-10-729        Critical Phenomenea

Phase transitions, critical behavior,Scaling hypothesis and critical exponents,Landau-Ginzburg Hamiltonian, meanfield Theory and saddle point approximation,Fluctuations and correlations to saddle point approximation,Renorxmalization group,Series expansions.

 

 

20-12-515       Advance Physics of Solid Thin Films and Interfaces

A brief introduction to Vacuum Science and Technology, Physical and Chemical Vapor Deposition, Film Formation and Structure, Interdiffusion and Reactions in Thin Films, Mechanical Properties of Thin Films, Electrical and Magnetic properties of Thin Films, Optical Properties of Thin Films, Metallurgical and Protective Coatings, Modification of Surface and Films, Emerging Thin-Film Materials and Applications.

Prerequisite: Statistical Mechanics, Advance Solid State.

 

 

20-12-713        Advanced Condensed Matter Physics 
Linear response theory, Classical transport ,Quantum transport, Disordered systems and localization, Microscopic BCS theory of superconductivity, Quantum Hall effect,Fermi liquid theory.

 

 

20-12-715       Density functional theory

Statistical mechanics and the density matrix,Independent electron approximations,Hartree and Hartree-Fock approximation,Thomas-Fermi-Dirac approximation,Density functional theory (Hohenberg-Kohn theorems),Spin density functional theory,Finite temperature density functional theory,The Kohn-Sham ansatz,Exchange-correlation hole,Functionals for exchange and correlation,Quantum molecular dynamics.

 

20-12-718        Magnetic properties of materials

Magnetostatics,Classical and Quantum phenomenology of magnetism,Quantum mechanics, magnetism and exchange in atoms and oxides,Quantum mechanics, magnetism and bonding in metals,Magnetic anisotropy,Magnetic domain walls and domains,Magnetism in nanostructures.

 

 

20-16-526        Advanced Particle Physics 1

 Elementary Particle Physics,Relativistic Quantum Mechanics and Introduction to Quantum Field Theory,Dirac fermions,Introduction to Scattering,Electrodynamics,Loop Corrections,Weak interactions.

 

20-16-702       Advanced Elementary Particles II

Weak Interactions ,Symmetries and Gauge Theories,The Standard Model of Electroweak Interactions, Quantum Chromodynamics,Nutrino Masses and Neutrino Oscillations, Supersymmetry.