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On Cyclic Harmonic Oscillators

Kenichi Konishi·Giampiero Paffuti
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Abstract

It is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, $\omega_{0}(t_{0})= \omega_{0}(0)$, cannot decrease on the average if the system is originally in a stationary state, after the system goes through a full cycle. The energy exchange always takes place in the direction from the macroscopic system (environment) to the quantum microscopic system.

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Kenichi Konishi, Giampiero Paffuti. 2004-06-29. On Cyclic Harmonic Oscillators. https://doi.org/10.1142/s0217751x06032502

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