Three manifestations of the pulsed harmonic potential

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

doi:10.1088/0305-4470/31/48/002

Three manifestations of the pulsed harmonic potential

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

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	9621-9640
Number of pages	20
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	48
DOIs	https://doi.org/10.1088/0305-4470/31/48/002
Publication status	Published - 4 Dec 1998

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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.",

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AB - 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.

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Three manifestations of the pulsed harmonic potential

Abstract

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