Course details of PH 802 - Quantum and Statistical Mechanics: Advanced Methods

Course Name Quantum and Statistical Mechanics: Advanced Methods
Total Credits 8
Type T
Lecture 8
Tutorial 0
Practical 0
Selfstudy 0
Half Semester N
Prerequisite 0
Text Reference E. Merzbacher , Quantum Mechanics, 3rd Ed., John Wiley, 1998. J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley, 1994, (Indian reprint 2000) R. Shankar, Principles of Quantum Mechanics, 2nd Ed., Plenum Press, 1994. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1-2, Pergamon Press, 1980.
Description Review of basic concepts, Hilbert space structure of Quantum Mechanics, The free particle solution and wave packets, Uncertainty Principle and the minimum uncertainty wave packet, Single particle problems in one dimensional potentials, The WKB Formalism. Harmonic oscillator, Solution in terms of Hermite polynomials, Coherent states as minimum uncertainty wavepackets, Harmonic oscillator in algebraic language, Creation and destruction operator formalism, Angular momentum, Spherical harmonics, The same in algebraic language. Systems of identical particles, Field operator formalism for bosons and fermions, Partition function for Bose and Fermi gases, Equations of state, Degenerate Bose gas, Black body radiation, Thermodynamic properties of degenerate gas of non-relativistic Electrons, Magnetism, Generalised susceptibility, Conductivity and superconductivity.
Last Update 12-12-2003 15:21:58