Course details of PH 810 - Advanced Simulation Techniques in Physics

Course Name Advanced Simulation Techniques in Physics
Total Credits 8
Type T
Lecture 8
Tutorial 0
Practical 0
Selfstudy 0
Half Semester N
Prerequisite 0
Text Reference S. J. Chapman, Introduction to Fortran 90 and 95,McGraw Hill, Int. Ed. 1998. S. E. Koonin and D. C. Meredith, Computational Physics, Addison-Wesley, 1990. Tao Pang, An Introduction to Computationl Physics, Cambridge Univ Press, 1997. R. H. Landau and M. J. P. Mejia, Computational Physics, John Wiley, 1997. J. M. Thijssen, Computational Physics, Cambridge Univ Press, 1999. K. H. Hoffmann and M. Schreiber, Computational Physics, Springer, 1996.
Description Basic Numerical Methods and Classical Simulations : Review of differentiation, integration (quadrature), and finding roots. Integration of ordinary differential equations. Monte Carlo simulations, applications to classical spin systems. Classical Molecular Dynamics. Quantum Simulations : Time-independent Schrodinger equation in one dimension (radial or linear equations). Scattering from a spherical potential; Born Approximation; Bound State solutions. Single particle time-dependent Schrodinger equations. Hartree-Fock Theory : restricted and unrestricted theory applied to atoms. Schrodinger equation in a basis: Matrix operations, variational properties; applications of basis functions for atomic, molecular, solid-state and nuclear calculations. Mini-projects on different fields of physics, e.g., Thermal simulations of matter using Car-Parrinello molecular dynamics; Many-Interacting-Particle Problems on Hubbard and Anderson model for electrons using Lanczos method (exact diagonalisation) for the lowest states; Quantum Monte Carlo methods; Computational methods for Lattice field theories; Microscopic mean-field theories (Hartree-Fock, Bogoliubov and relativistic mean-field); methods in nuclear many-body problems.
Last Update 12-12-2003 15:21:58