Solid State Physics
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PHY 546: Advanced Programming 2 Credits
Introduction of high level programming languages (Fortran, Pascal, C++, SQL). Programming design. Structural design. Developing an algorithm - define problem, design a solution algorithm, checking the solution algorithm. Names and data types. Control structures - simple IF statements. ELSE statements, combine IF statements, nested IF statements, the CASE structure. Repetition control structures - DO WHILE structure. REPEAT .. UNTIL structure, combined repetition constructs.
Modularization-hierarchy charts or structure charts. Steps in modularisation. Programming examples using modules. Module design consideration. Array and matrices. Characters and strings. Procedure and functions. Files. List processing (pointers). Enumerated and set types. Records. Search and sorting. Iteration and recursion. Graphics. Modelling and simulation.
PHY 553 Topics in Classical and Quantum Mechanics 3 Credits
Review of Lagrangian and Hamiltonian Mechanics. Canonical transformations. The Hamilton-Jacobi Theory. Connection between Classical and Quantum Mechanics. Linear Vector Spaces in Quantum Mechanics. Elements of Representation theory. Motion of a particle in a central force field. Approximate methods in Quantum Mechanics. Elementary scattering theory. The spin. Dynamics of two-level systems.
PHY 555 Theory of Fields 3 Credits
Special theory of relativity. lnvariance of electrical charge. Dynamics of relativistic particle and electromagnetic fields. Radiation by moving charges. Multipole field. Radiation damping. Particle in a gravitational field.
PHY 559 Statistical Physics 3 Credits
Classical statistical mechanics; Postulates; Microcanonical, Canonical and Gens canonical ensembles. Boltzmann's H- theorem; Maxwell-Boltzmann distribution, applications. Quantum statistical mechanics; Postulates, density matrix, Bose and Fermi gases. Darwin-Fowler methods; Imperfect gases; Gluster expansion. Phase transition, Ising model, Molecular field approximation; Critical fluctuation; Time correlation function; Fluctuation-dissipation theorem.
PHY 554 Topics in Advanced Quantum Mechanics 3 Credits
Elements of the Foral theory of scattering. Identical particle. Application of second quantization. Photons. Bosons. Fermions. Particles in an external field. Radiation of QED.
PHY 551 Mathematical Methods for Physics 3 Credits
Vectors and matrices. System of linear equations and linear programming. Function representation and curve fitting. The Monte Carlo Method. Linear spaces. Fourier series, Laplace Transform. Introduction to the Theory of distributions (Generalised functions). Ordinary Differential Equations. Special Functions. Green's Functions.
PHY 561: Electrical and Optical Properties Of Solids 3 Credits
Band theory of solids, Transport properties of Solids: Metals and Semiconductors. Dielectric and Ferroelectrics properties of materials. Optical properties of metals, Semiconductors. Semiconductor devices, Surface phenomena.
PHY 584: Experimental Methods In Condensed Matter Physics 3 Credits
Crystal and thin growth. Investigation of properties of solids by means of interactions with waves and particles. Diffraction of X- rays and neutrons, NMR and EPR, IR properties of semiconductors, insulators. Raman effect. Compton scattering, Mossbauer effect, Vacuum techniques.
PHY 586: Low Temperature Physics 3 Credits
Superfluidity and Superconductivity: 4He as ideal Bose gas. Description of the fluid properties. Landau and Feynmann theories. The phenomenology of Fermi liquids. Description of the normal 3He. The phenomenology of superconductivity. High
temperature superconductivity. Low temperature transitions.