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Schwinger Method and Feynman Path Integral for a Harmonic Oscillator with Mass Growing with Time

本文正式版本已出版,請見:10.6122/CJP.20150217

並列摘要


The exact propagator for a harmonic oscillator with mass growing like m(1+ατ)^2 where m and α are constants and α is time, is derived by the Schwinger method and the Feynman path integral. In the Schwinger formalism, the propagator can be calculated by basic operator algebra and elementary integrations. In the Feynman path integral method, it can be shown that such a propagator can be evaluated from that for a classical action with the application of a Pauli-Van Vleck formula.

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