Klein–Gordon equation from the path integral formalism
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By using Feynman's path integral formalism in the second order for the relativistic Lagrangian for a spinless particle in a gauge field and applying the covariant derivative instead of the commonly used derivative, but without knowing the operator expressions for the momentum and energy, one can obtain the Klein–Gordon equation.
KeywordsCovariant Derivative Integral Formalism Gauge Field Gordon Equation Operator Expression
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