Three manifestations of the pulsed harmonic potential

T. J. Newman, R. K. P. Zia

    Research output: Contribution to journalArticle

    Abstract

    We consider, in turn, three systems being acted upon by a regularly pulsed harmonic potential (PHP). These are (i) a classical particle, (ii) a quantum particle, and (iii) a directed line We contrast the mechanics of the first two systems by parametrizing their bands of stability and periodicity. Interesting differences due to quantum fluctuations are examined in detail. The fluctuations of the directed line are calculated in the two cases of a binding PHP, and an unbinding PHP. In the latter case there is a finite maximum line length for a given potential strength.
    Original languageEnglish
    Pages (from-to)9621-9640
    Number of pages20
    JournalJournal of Physics A: Mathematical and General
    Volume31
    Issue number48
    DOIs
    Publication statusPublished - 4 Dec 1998

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