# 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.