Exact classical and quantum mechanics of a particle coupled to a membrane

H. Dekker

Physica A: Statistical Mechanics and its Applications, 1985, vol. 129, issue 3, 503-513

Abstract: The exact dynamical solution is given for a harmonically bound particle of finite size (the oscillator) coupled rigidly to a finitely extended two-dimensional mechanical continuum transmission line (the membrane). A quantum mechanical ultraviolet divergence in the particle's momentum fluctuations is discussed. In the limit of a very large membrane and a very small particle the oscillator's classical friction coefficient is obtained explicitly.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:129:y:1985:i:3:p:503-513

DOI: 10.1016/0378-4371(85)90182-7

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