Effective Dynamics of a Tracer Particle Interacting with an Ideal Bose Gas |
| |
Authors: | Dirk-André Deckert Jürg Fröhlich Peter Pickl Alessandro Pizzo |
| |
Affiliation: | 1. Department of Mathematics, University of California Davis, One Shields Avenue, Davis, CA, 95616, USA 2. School of Mathematics, The Institute for Advanced Study, Princeton, NJ, 08540, USA 3. Mathematisches Institut der LMU München, Theresienstra?e 39, 80333, Munich, Germany
|
| |
Abstract: | We study a system consisting of a heavy quantum particle, called the tracer particle, coupled to an ideal gas of light Bose particles, the ratio of masses of the tracer particle and a gas particle being proportional to the gas density. All particles have non-relativistic kinematics. The tracer particle is driven by an external potential and couples to the gas particles through a pair potential. We compare the quantum dynamics of this system to an effective dynamics given by a Newtonian equation of motion for the tracer particle coupled to a classical wave equation for the Bose gas. We quantify the closeness of these two dynamics as the mean-field limit is approached (gas density ${to infty}$ ). Our estimates allow us to interchange the thermodynamic with the mean-field limit. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|