An Elementary Derivation of the Harmonic Oscillator Propagator

Physics – General Physics

Scientific paper

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1 page, RevTex4

Scientific paper

10.1119/1.1715108

The harmonic oscillator propagator is found straightforwardly from the free particle propagator, within the imaginary-time Feynman path integral formalism. The derivation presented here is extremely simple, requiring only elementary mathematical manipulations and no clever use of Hermite polynomials, annihilation & creation operators, cumbersome determinant evaluations or any kind of involved algebra.

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