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Physical Review A

Time-dependent harmonic oscillator: An Ermakov-Nelson process

Antnio B. Nassar

Published Sep 1, 1985• 18 citations
Publisher

Abstract

The Ermakov problem of finding an exact invariant of the time-dependent harmonic oscillator is derived and solved within the framework of Nelson’s stochastic mechanics.Received 10 May 1985DOI:https://doi.org/10.1103/PhysRevA.32.1862©1985 American Physical Society

DOI
10.1103/physreva.32.1862

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The Ermakov problem of finding an exact invariant of the time-dependent harmonic oscillator is derived and solved within the framework of Nelson’s stochastic mechanics.Received 10 May 1985DOI:https://doi.org/10.1103/PhysRevA.32.1862©1985 American Physical Society