On Cyclic Harmonic Oscillators

Details On Cyclic Harmonic Oscillators On Cyclic Harmonic Oscillators

2004-06-29

arxiv.org/abs/quant-ph/0406212v2

Int.J.Mod.Phys. A21 (2006) 3199-3211

Physics

Quantum Physics

Latex file, 14 pages, 3 figures, minor correction made in Section 1

Scientific paper

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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