Schrödinger Equation (Time Dependent)

Available identifiers

WikidataQ165498 ScholiaQ165498MaRDI QIDQ6534305

partial differential equation describing how the quantum state of a non-relativistic physical system changes with time

Description

One of the fundamental postulates of Quantum Mechanics on the time evolution of quantum states.

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Defining Formula: $\mathrm{i}\hslash \frac{\partial }{\partial t}|\psi (t)⟩=\hat{H}|\psi (t)⟩$

$H$ symbol represents Quantum Hamiltonian Operator

$\hslash$ symbol represents Planck Constant

$\psi (t)$ symbol represents Quantum State Vector (Dynamic)

$t$ symbol represents Time

$\mathrm{i}$ symbol represents imaginary unit

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