Modern Physics

Time-Dependent Schrödinger Equation

iΨt=H^Ψi\hbar\frac{\partial \Psi}{\partial t} = \hat{H}\Psi

The fundamental equation of quantum mechanics describing how quantum states evolve in time.

Variables

i
Imaginary unit
unitless
\hbar
Reduced Planck constant
J·s
\Psi
Wave function
unitless
\hat{H}
Hamiltonian operator
unitless

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