On successful completion of this module, students will be able to:
State the basic postulates of quantum mechanics;
Derive the general Schroedinger and Heisenberg equations of motion;
Apply quantum theoretical techniques to complex problems;
Demonstrate understanding-at and entry level-of 20th/21st century physics;
Solve problems in assigned and graded weekly problem sets;
The course begins with a survey of the foundations of quantum mechanics, using Dirac notation. It then proceeds to illustrative solutions of Schrodinger's equation, including bound-state problems, periodic potentials and scattering theory. This is followed by a study of symmetries, including displacements in time, spatial translations, rotations and angular momentum, reflections in space, and time reversal. Following this, stationary state and time-dependent perturbation theory are developed. Time permitting, Feynman's path-integral formulation of quantum mechanics will be discussed.
MA 2341 - Advanced Classical Mechanics
E. Merzbacher, Quantum Mechanics 3rd Edition, recommended among others
This module will be examined jointly with MA3442
in a 3-hour examination in Trinity term,
except that those taking just one of the
two modules will have a 2 hour examination.Continuous assessment
will contribute 10% to the final grade for the module at the annual
examination session and at supplementals where applicable.