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Schrödinger equation

The Schrödinger equation describes the status of a quantum system.

 


Explanation

The time development of the wave function of a one-particle system is described by the time-dependent Schrödinger equation

where

    i Imaginary unit
    ℏ Reduced Planck constant
Partial derivative with respect to time
    ψ Wave function
    m Inertial mass
    ∇2 Laplacian differential operator
    V External (classical) potential

 


History

The Austrian physicist Erwin Schrödinger postulated this equation for the wave function of a quantum system in 1925.


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