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Module MA3441: Quantum Mechanics I

Credit weighting (ECTS)

5 credits

Semester/term taught

Michaelmas term 2016-17

 

Contact Hours

11 weeks, 3 lectures including tutorials per week

Lecturer

 

Learning Outcomes

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;

Module Content

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.

 

Module Prerequisite

MA 2341 - Advanced Classical Mechanics

Recommended Reading

E. Merzbacher, Quantum Mechanics 3rd Edition, recommended among others

 

Assessment Detail

This module will be examined in a 2-hour examination in Trinity term. Continuous assessment will contribute 10% to the final grade for the module at the annual examination session. Supplemental exams if required will consist of 100% exam.