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
Wave function in position space is represented by $\psi(x)$ Wave function in momentum space or k -space is: $\phi(p)=\frac{1}{\sqrt{2}\pi\hbar}\intop_{-\infty}^{\infty}\psi(x)e^{-i\frac{p}{\hbar}x}dx$ Inverse relation: $\psi(x)=\frac{1}{\sqrt{2}\pi\hbar}\intop_{-\infty}^{\infty}\phi(p)e^{i\frac{p}{\hbar}x}dp$ If a wave function is normalized in position space, it will be normalized in momentum space. But the normalization constant may be different.Various Representation of Wave Function
