Theoretical Physics Research Group - TPRG
Phys 504 Mathematical Physics (3+0) hours:
Review of ordinary differential equations, Special functions (Bessel, Legendre, Hermite, Laguerre, Beta and Gamma), Integral transform (Fourier and Laplace), Partial differential equations of first order, Partial differential equations of second order, Methods of solving partial differential equations, Applications of partial differential equations in multiple dimensions, Using integral transform for solving partial differential equations, Using Green's function for solving partial differential equations.
Suggested Ref. / Textbooks
Arfken G. B. & Weber H. J. (2001), Mathematical Methods for Physicists, Fifth Edition, Academic Press.
Farlow S. J., (1993), Partial Differential Equations for Scientists and Engineers, Dover Publications, Inc. NY.
Phys 505 Mathematical Physics (1+1) hours:
Theory of measurement and degree of accuracy, Analog and digital methods and use of computers in experimentation and data analysis. Experimental setups and methods of measurement. Statistical methods and probability theories in physics. The electromagnetic spectrum and its applications in physicsl measurements. Potential functions and their use in description of quantum systems. Approximation methods perturbation theory and variational principles. The experimental/computing part in this course contains 10 experiments according to the research group (M.Sc. path). Examples of such experiments are as follows:
1- Statistical distribution (normally Maxwell-Boltzman, Fermi-Dirac) analysis. 2- Potential wells calculations. 3- Density of charge carriers in semiconductors. 4- Study of laser transition probabilities and black body radiation. 5- Fourier's analysis. 6- Simple perturbation calculations. There are also more experiments to be executed by the students dependent on their path in the M. Sc program.
Phys 507 Elementary Particle Theory (I) (2+0) hours:
Historical introduction for the elementary particles, Elementary particle dynamics, Relativistic kinematics, Symmetries, Boundstates, Feynman calculus, Quantum Electrodynamics, Electrodynamics of quarks and hadrons, Quantum chromodynamics, Weak Interactions, Gauge theories.
Suggested Ref. / Textbooks
Griffiths David J. (1987), Introduction to Elementary Particles , Harber & Row.
Phys 508 Elementary Particle Theory (II) (2+0) hours:
Gauge symmetries, Quantum gauge theories, Quantum chromodynamics, Standard electroweak theory I: Basic structure, Standard electroweak theory II: Phenomenological implications.
Suggested Ref. / Textbooks
Cheng Ta-Pei and Ling-Fong Li. (1985), Gauge Theory of Elementary Particle Physics, Oxford Univ. Press.
Aitchison I. J. R. and Hey A. J. G. (2003) Gauge Theories in Particle Physics, Institute of Physics Publishing.
Phys 511 Classical Mechanics (2+0) hours:
The Hamilton equations of motion, Canonical transformations, Hamilton-Jacobi theory, Canonical perturbation theory, Special relativity in classical mechanics, Introduction to the Lagrangian and Hamiltonian formulations for continuous systems and fields.
Suggested Ref. / Textbooks
Goldstein H. (1980), Classical Mechanics, Second Edition, Addison-Wesley Publishing Company, Inc.
Phys 514 General Relativity (2+0) hours:
Principle of equivalence, principle of general covariance, the metric tensor, Reimann tensor, Ricci tensor, ideal fluid, Einstein's field equations, Motion in Schwarzchild metric, Gravitational slowing down of light, and Schwaezchild radius.
Suggested Ref. / Textbooks
Atwater H. A. (1974), Introduction to General Relativity, a Pergamon Press.
Stephani H. (1990), General Relativity, Second Edition, Cambridge University Press.
Weinberg S. (1972), Gravitation and Cosmology Principles and Applications of the General Relativity Theory of Relativity, John Wiley & Sons.
Phys 515 Cosmology (2+0) hours:
The isotropic homogeneous line-element, Properties of the Robertson – Walker line – element, Expansion of the universe, Dynamical equations in Cosmology, Some consequence of the dynamical equations in cosmology, Cosmic microwave background, Anisotropies in the background radiation, Nucleosynthesis, Baroysnthesis, Space time problems, and Dynamical dark matter.
Suggested Ref. / Textbooks
Berry M. V. (1993), Principles of Cosmology and Gravitation, Institute of Physics Publishing.
Roos M. (1995), Introduction to Cosmology, John Wiley & Sons.
Peebles P. J. E. (1993), Principles of Physical Cosmology, Princeton University Press.
Phys 530 Electromagnetic Theory (2+0) hours:
Review of Maxwell's equations, Propagation of electromagnetic waves, Reflection and refraction, Wave guides of resonant.cavitiy, Radiating systems, Special relativity and electromagnetic fields.
Suggested Ref. / Textbooks
Griffiths David J. (1998), Introduction to Electrodynamics, Third Edition Prentice Hall
Jackson J. D. (1975), Classical Electrodynamics, Second Edition, John Wiley & Sons.
Phys 540 Statistical Mechanics (2+0) hours:
Postulates of quantum statistical mechanics, Micro canonical ensemble, canonical ensemble, Grand canonical ensemble, Ideal Bose gas, Photon gas, Ideal Fermi gas, Degeneracy pressure (Equilibrium in stellar structure), Interacting systems, Mayer cluster expansion.
Suggested Ref. / Textbooks
Reif F. (1965), Fundamental of Statistical and Thermal Physics, Mc Grow hill.
Phys 553 Quantum Mechanics (3+0) hours:
Review of time independent perturbation, The variational principle, The WKB approximation, Time dependent perturbation theory, Generalized theory of angular momentum, Applications in atomic, molecular and nuclear physics, Scattering.
Suggested Ref. / Textbooks
Griffiths David J. (1994), Introduction to Quantum Mechanics, Prentice Hall.
Liboff R. L. (2002), Introductory Quantum Mechanics, Fourth Edition, Addison Wesley.
Phys 554 Advanced Quantum Mechanics (2+0) hours:
Relativistic wave equation for spin zero particle (Klein-Gordon equation), Wave equation for spin half particle (Dirac equation), Lorentz-Covariance of the Dirac equation, Spinors under spacial reflection, Bilinear covariant of the Dirac spinors, Dirac particles in external fields, The hole theory, The Weyl equation-The neutrino.
Suggested Ref. / Textbooks
Greiner W. (1990), Relativistic Quantum Mechanics, Springer-Verlag.
Bjorken J. D. & Drell S. D. (1964), Relativistic Quantum Mechanics, McGrowhill.
Phys 555 Quantum Field Theory ( I ) (2+0) hours:
Photon and electromagnetic field, Lagrangian field theory, Klein-Gordon field, Dirac field, Covariant theory of photons, S-matrix expansion, Feynman Digrams in QED, Lowest order QED processes
Suggested Ref. / Textbooks
Mandl F. & Shaw G. (1990), Quantum Field Theory, John Wiley & Sons.
Bjorken J. D. & Drell S. D. (1965), Relativistic Quantum Fields, McGrowhill.
Phys 556 Quantum Field Theory ( II ) (2+0) hours:
Basic in field quantization, Introduction to renormalization theory, Renormalization group, Radiative correction in QED, Regularization in QED.
Suggested Ref. / Textbooks
Mandl F. & Shaw G. (1990), Quantum Field Theory, John Wiley & Sons.
Cheng Ta-Pei & Ling-Fong Li. (1985), Gauge Theory of Elementary Particle Physics, Oxford Univ. Press.
Phys 557 Quantum Field Theory in Condensed Matter (I) (2+0) hours:
General properties of many-particle systems at low temperatures, methods of quantum field theory for T = 0, the diagram technique for T 0.
Suggested Ref. / Textbooks
Abrikosov A. A. (1977), Methods of Quantum Field Theory in Statistical Physics, Dover Publication .
Rickayzn (1981), Green's Function in Condensed Matter Physics, Academic Press .
Phys 558 Quantum Field Theory in Condensed Matter (II) (2+0) hours:
Theory of Fermi liquid, Systems of interacting bosons, Electromagnetic radiation in an absorbing medium.
Suggested Ref. / Textbooks
Abrikosov A. A. (1977), Methods of Quantum Field Theory in Statistical Physics, Dover Publication .
Rickayzen (1981), Green's Function in Condensed Matter Physics, Academic Press .