- 03-255 L. Bruneau
- The ground state problem for a quantum Hamiltonian model describing friction
Jun 3, 03
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Abstract. In this paper, we consider the quantum version of the hamiltonian model describing friction introduced in [BDB].
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.