Eigenvalue Problem for Schroedinger Operators and Time-Dependent Harmonic Oscillator

dc.creatorMostafazadeh, Ali
dc.date1997-06-26
dc.date.accessioned2026-07-07T06:14:20Z
dc.date.available2026-07-07T06:14:20Z
dc.descriptionIt is shown that the eigenvalue problem for the Hamiltonians of the standard form, $H=p^2/(2m)+V(x)$, is equivalent to the classical dynamical equation for certain harmonic oscillators with time-dependent frequency. This is another indication of the central role played by time-dependent harmonic oscillators in quantum mechanics. The utility of the known results for eigenvalue problem in the solution of the dynamical equations of a class of time-dependent harmonic oscillators is also pointed out.
dc.descriptionPlain Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/9706056
dc.identifierhttp://arxiv.org/abs/quant-ph/9706056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93419
dc.subjectQuantum Physics
dc.titleEigenvalue Problem for Schroedinger Operators and Time-Dependent Harmonic Oscillator
dc.typetext

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