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Supplementary Subject - Quantum Chemistry
Prof. J.M. Brown
Course Contents
1. Operators and Commutators
- (a) Postulates of QM
- (b) Linear operators
- (c) Hermitian operators
- (d) The unit operator
- (e) Commutators
- (f) The uncertainty principle
- (g) Constants of the motion
2. The Harmonic Oscillator
- (a) Definitions
- (b) Creation and annihilation operators
- (c) Eigenvalues and eigenstates
- (d) Matrix elements
3. Angular Momentum
- (a) Definitions
- (b) Commutation relations
- (c) Raising and lowering operators
- (d) Eigenvalues and eigenstates
- (e) Coupling of angular momenta
4. Matrix Formulation of QM
- (a) Introduction
- (b) Hermitian matrices
- (c) Hamiltonian matrices
- (d) The variational method
- (e) Secular equations
- (f) Examples
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