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

    Authors

    B. K. Shivamoggi;L. Muilenburg

    Comments

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    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    Physics, Multidisciplinary

    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 epsilon characterizing the slow variations in the frequency.

    Journal Title

    Physics Letters A

    Volume

    154

    Issue/Number

    1-2

    Publication Date

    1-1-1991

    Document Type

    Article

    Language

    English

    First Page

    24

    Last Page

    28

    WOS Identifier

    WOS:A1991FF13500006

    ISSN

    0375-9601

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