×

Some Hamiltonian models of friction. (English) Zbl 1272.70067

Summary: Mathematical results on a model describing the motion of a tracer particle through a non-interacting Bose-Einstein condensate are described. In the limit of a very dense gas and for a very large particle mass, the dynamics of the coupled system is determined by classical nonlinear Hamiltonian equations of motion. The particle’s motion exhibits deceleration corresponding to friction with memory caused by the emission of Cerenkov radiation of gapless modes into the gas. A more general class of models involving interacting Bose gases will be studied in forthcoming papers. {
©2011 American Institute of Physics}

MSC:

82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
PDF BibTeX XML Cite
Full Text: DOI arXiv

References:

[1] Bogoliubov N. N., J. Phys. (USSR) 11 pp 23– (1947)
[2] DOI: 10.1007/s00023-010-0066-z · Zbl 1213.81166
[3] DOI: 10.1007/BF01646348
[4] Jackson J. D., Classical Electrodynamics, 2. ed. (1975)
[5] Knowles, A., Ph.D. dissertation, ETH Zurich, 2009.
[6] DOI: 10.1016/S0375-9601(01)00197-9 · Zbl 01608339
[7] Reed M., Methods of Modern Mathematical Physics. IV: Analysis of Operators (1978) · Zbl 0401.47001
[8] DOI: 10.1017/CBO9780511535178 · Zbl 1078.81004
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.