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Paper detail

Exact Wave Functions for Generalized Harmonic Oscillators

We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact wave functions of generalized harmonic oscillators is determined in terms of solutions of certain Ermakov and Riccati-type systems. In addition, we show that the classical Arnold transformation is naturally connected with Ehrenfest's theorem for generalized harmonic oscillators.

preprint2011arXivOpen access
Nathan LanfearRaquel M. LopezSergei K. Suslov
math-phmath.MP
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Nathan LanfearRaquel M. LopezSergei K. Suslov

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