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Title: PHS 302, Quantum Mechanics I
Institution: University of Lagos, Nigeria

Level:

Degree.

Description:
1. Review of classical mechanics
- Introduction
- Generalised coordinates and Lagrange's equations
- Hamilton's equations
- Poisson brackets
- Canonical transforms
2. Review of physical foundation of quantum mechanics
- Some evidence of the inadequacy of classical mechanics - stability of matter, black body radiation, photoelectric effect, Compton effect
- Wave behaviour of matter - De Broglie hypothesis
- Quantisation of matter - Bohr's theory
3. Schroedinger's theory of quantum mechanics
- The Non-relativistic Schroedinger wave equation
- The time independent Schroedinger equation
- Required properties of eigenfunctions
- Expectation values of observables
4. One dimensional quantized systems
- The zero potential
- The step potential
- The barrier potential
- The square well potential
- The simple harmonic oscillator
5. The general formalism of quantum mechanics
- Linear vector space; Hilbert space; bases
State space: Dirac's bra and ket notation
- Linear operators and operators in the Hilbert space
- The eigenvalue problem and observables
- Postulates of quantum mechanics
- The Heisenberg uncertainty relations
- Observables of a quantum system and their commutation relations - Matrix formulation of quantum mechanics
- Equations of motion - various pictures.

Assessment is by assignments and examination.

Programmes for which this course is required or in which it can be included:
Bachelor of Science Honours in Education/Physics.


Languages:

English

Media and methods employed: Printed text, tV broadcast, radio broadcasts, face-to-face tutorials.
Printed correspondence texts prepared by/for institution, face-to-face tuition, radio, television via cable.

Administrative information:
This course is equivalent to 3 hours of instruction per week. It is a 1 semester course (15 weeks) and awards 3 units.


Classification:

070430 PHYSICS

Date: 01 September 1992 bb
Source: COSIT Brochure

© 1999 International Centre for Distance Learning, The Open University


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