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The Ground State Problem for a Quantum Hamiltonian Model Describing Friction |
Canad. J. Math. 59(2007), 897-916
Published:2007-10-01
Printed: Oct 2007
Printed: Oct 2007
- 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.
| MSC Classifications: |
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis 46N50 - Applications in quantum physics |