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The Zeta Function Method and the Harmonic Oscillator Propagator
classification
⚛️ physics.ed-ph
keywords
methodfunctionharmonicoscillatorpropagatorzetabesidescomputed
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We show how the pre-exponential factor of the Feynman propagator for the harmonic oscillator can be computed by the generalized $\zeta$-function method. Besides, we establish a direct equivalence between this method and Schwinger's propertime method.
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