Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1110.6550 · Communications in Mathematical Physics

Friction in a Model of Hamiltonian Dynamics

Jürg Martin Fröhlich, Zhou Gang, Avy Soffer

Published Sep 14, 2012• 23 citations
arXivHTMLPDF
DOI
10.1007/s00220-012-1564-2

Related papers

Ground state for a quantum Hamiltonian describing friction

Laurent Bruneau

•Jan 1, 2007•0 citations

Quantal friction, nonlinear Hamiltonians, and information theory

D. Otero, Angelo Plastino, Araceli N. Proto +1 more

The European Physical Journal A•Oct 1, 1984•25 citations

Emission of Cherenkov radiation as a mechanism for Hamiltonian friction

Jürg Martin Fröhlich, Zhou Gang

arXiv:1311.6377•Advances in Mathematics•Jul 24, 2014•29 citations

Some Hamiltonian models of friction

Jürg Martin Fröhlich, Zhou Gang, Avy Soffer

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.

arXiv:1011.1283•Journal of Mathematical Physics•Aug 1, 2011•15 citations

Classical Hamiltonian Dynamics

Mark Linne

Elsevier eBooks•Jan 1, 2002•0 citations

The Ground State Problem for a Quantum Hamiltonian Model Describing Friction

Laurent Bruneau

Abstract In this paper, we consider the quantum version of a Hamiltonian model describing friction. This model consists of a particle which interacts with a bosonic reservoir representing a homogeneous medium through which the particle moves. We show that if the particle is confined, then the Hamiltonian admits a ground state if and only if a suitable infrared condition is satisfied. The latter is violated in the case of linear friction, but satisfied when the friction force is proportional to a higher power of the particle speed.

arXiv:math-ph/0306011•Canadian Journal of Mathematics•Oct 1, 2007•6 citations
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.
Abstract In this paper, we consider the quantum version of a Hamiltonian model describing friction. This model consists of a particle which interacts with a bosonic reservoir representing a homogeneous medium through which the particle moves. We show that if the particle is confined, then the Hamiltonian admits a ground state if and only if a suitable infrared condition is satisfied. The latter is violated in the case of linear friction, but satisfied when the friction force is proportional to a higher power of the particle speed.