Quantum Operators
Position Operator
$$ \hat{x}|\psi\rangle = x|\psi\rangle $$
Momentum Operator
$$ \hat{p} = -i\hbar\frac{\partial}{\partial x} $$
Hamiltonian (Energy)
$$ \hat{H} = \frac{\hat{p}^2}{2m} + V(\hat{x}) $$
Commutator
$$ [\hat{x}, \hat{p}] = i\hbar $$
Further Reading
Related Snippets
- Path Integral Formulation
Feynman's path integral approach to quantum mechanics - Quantum Computing Basics
Qubits, gates, and quantum algorithms - Quantum Mechanics Basics
Wave functions, operators, and measurements - Schrödinger Equation
Time-dependent and time-independent formulations