Klein-Gordon equation

The Klein-Gordon equation (Klein-Fock-Gordon equation or sometimes Klein-Gordon-Fock equation) is a relativistic version (describing scalar (or pseudoscalar) spinless particles) of the Schrödinger equation.

Relativistic free particle solution

If the particle is charge-neutral and spinless, and relativistic effects cannot

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be ignored, we may use the Klein-Gordon equation to describe the wave function. The Klein-Gordon equation for a free particle is written

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:

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mathbf{ abla}^2psi-rac{1}{c^2}rac{partial^2}{partial t^2}psi

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