Title

On Lewis' Exact Invariant For The Linear Harmonic Oscillator With Time-Dependent Frequency

Abstract

In this paper we purport to show that Lewis' exact invariant for a linear harmonic oscillator with a time-dependent frequency arises as a consequence of the invariance of the problem under local Lie groups of transformations. We will also show that Lewis' invariant can be deduced via a systematic perturbation theory for the case with slowly-varying frequency as a power series in the small parameter ε{lunate} characterizing the slow variations in the frequency. © 1991.

Publication Date

3-25-1991

Publication Title

Physics Letters A

Volume

154

Issue

1-2

Number of Pages

24-28

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0375-9601(91)90422-5

Socpus ID

44949284180 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/44949284180

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