Klein–Gordon Equation

The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes KleinGordon–Fock equation) is a relativistic version of the Schrödinger equation.

It is the equation of motion of a quantum scalar or pseudoscalar field, a field whose quanta are spinless particles. It cannot be straightforwardly interpreted as a Schrödinger equation for a quantum state, because it is second order in time and because it does not admit a positive definite conserved probability density. Still, with the appropriate interpretation, it does describe the quantum amplitude for finding a point particle in various places, the relativistic wavefunction, but the particle propagates both forwards and backwards in time. Any solution to the Dirac equation is automatically a solution to the Klein–Gordon equation, but the converse is not true.

Read more about Klein–Gordon Equation:  Statement, History, Derivation, Relativistic Free Particle Solution, Action, Electromagnetic Interaction, Gravitational Interaction, In Popular Culture

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Klein–Gordon Equation - In Popular Culture
... between two students attempting to resolve the equation in an infinite series with operator equivalents ...

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