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Module MAU34403: Quantum Mechanics I

Credit weighting (ECTS)
5 credits
Semester/term taught
Michaelmas term 2019-20
 
Contact Hours
11 weeks, 3 lectures including tutorials per week
Lecturer
Prof Tristan McLoughlin
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
  • States and quatum amplitudes, Hilbert Spaces, Hermitian Operators, probabilities.
  • Co-ordinate representation and momementum representation of quantum particle and the Schrödinger equation.
  • Quantum Harmonic Oscillator (including operator approach).
  • General one-dimensional potentials.
  • Central potential in three-dimensions. Spectrum of Hydrogen atom.
  • Symmetries, angular momentum operator (eigenfunction and eigenvalues).
  • Identical particles-fermions and bosons
 
Module Prerequisite
MAU23402
Recommended Reading
E. Merzbacher, Quantum Mechanics 3rd Edition,

David J. Griffiths, Introduction to Quantum Mechanics

 
Assessment Detail
This module will be examined in a 2-hour examination in Michaelmas term. Continuous assessment will contribute 20% to the final grade for the module at the annual examination session. Supplementals if required will consist of 100% exam.