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- 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. | |||||||||||||||||||
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Date: | 01 September 1992 bb
Source: COSIT Brochure |
© 1999 International Centre for Distance Learning, The Open University