Bottom ScienceQuantum Mechanics
Basic Quantum Mechanics
- Origin of Quantum Physics
- Wave function
- Collapse of Wave Function
- Physically Accepted Wave function
- Normalization Explained
- Method of Normalization
- Orthogonality & Orthonormality
- Hilbert Space
- Quantization Rules
- Operator Formalism
- Commutator Bracket
- Linear Operator
- Hermitian Operator
- Projection Operator
- Unitary Operator
- Parity Operator
- Expectation Value
- Schrodinger Equation
- Wave-Particle Duality Using Schrodinger Equation
- Superposition of States
- Various Representations of Wave Function
- Probability Current Density
- Uncertainty in Operators
- Shortcut for Calculating Momentum Expectation Value
Advanced Quantum Mechanics
A operator is said to be projection operator if $Â=Â$ and $Â^{2}=Â$ Properties: (1) Eigenvalues of a projection operator is 0 and 1. (2) Product of two projection operator is also projection operator if $\left[\hat{p}_{1},\hat{p}_{2}\right]=0$ (3) Sum of two projection operator is a projection operator if $\left\{ \hat{p}_{1},\hat{p}_{2}\right\} =0$Projection Operator
