Quantum Mechanics

Physics World

1. State Space - Provides basic definitions including bras, kets, scalar products, Hilbert space etc.
2. Gaussian state - An example of expectations using a state which has a Gaussian probability distribution.
3. Calculate <x²> - An example of calculating an expectation using a Gaussian distribution. 
4. Calculate <p²>  Another example of calculating an expectation using a Gaussian distribution. 
5. Postulates of Quantum Mechanics - [TBD]
6. Tensor Product of Two States - The tensor product of two states is also a state.
7. Harmonic Oscillator
8. Harmonic Oscillator Eigenfunctions
9. Conservation of Probability - The continuity equation is derived for the conservation of probability
10. Expectation [TBD]
11. N Operator - Describes the creation and annihilation operators.
12. Probability - A discussion of the basics of probability as it applies to quantum theory.
13. Step Potentials - Find the wave-function, transmission and reflection coefficients for a step potential
14. Function of an Operator - Defines the meaning of function of operator.
15. Time-Energy Uncertainty Relation - Describes the time evolution of energy expectation.

Selected Literature

Quantum Theory Needs No 'Interpretation' - Chris Fuchs, Physics Toay, March 2000, pp. 70-71.

Physics World