The Zeta Function Method and the Harmonic Oscillator Propagator

Details The Zeta Function Method and the Harmonic Oscillator Propagator The Zeta Function Method and the Harmonic Oscillator Propagator

2005-08-28

arxiv.org/abs/physics/0508201v1

Am. J. Phys. 69, 232 (2001)

Physics

Physics Education

12 latex pages, no figures

Scientific paper

10.1119/1.1311784

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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