time-dependent Schrödinger equation

symbols, variables and units

ψ: wave function; Ĥ: Hamiltonian operator (J); ℏ: J·s; t: s.

applicable conditions and boundaries

Non-relativistic quantum model; Hamiltonian and boundary conditions must be specified.

formula source code

The following is a copyable LaTeX expression.

i\hbar\frac{\partial\psi}{\partial t}=\hat H\psi

Reference and Extended Learning

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.