**Quantum Mechanics**

- State Space - Provides basic definitions including bras, kets, scalar products, Hilbert space etc.
- Gaussian state - An example of expectations using a state which has a Gaussian probability distribution.
- Calculate <x
^{2}> - An example of calculating an expectation using a Gaussian distribution. - Calculate <p
^{2}> Another example of calculating an expectation using a Gaussian distribution. - Postulates
of Quantum Mechanics

- Tensor Product of Two States - The tensor product of two states is also a state.
- Harmonic Oscillator
- Harmonic Oscillator Eigenfunctions
- Conservation of Probability - The continuity equation is derived for the conservation of probability
- Expectation [TBD]
- N Operator - Describes the creation and annihilation operators.
- Probability - A discussion of the basics of probability as it applies to quantum theory.
- Step Potentials - Find the wave-function, transmission and reflection coefficients for a step potential
- Function
of an Operator - Defines the meaning of f
*unction of operator.* - Time-Energy Uncertainty Relation - Describes the time evolution of energy expectation.