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The ground state problem for a quantum Hamiltonian model describing friction

L. Bruneau
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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.

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L. Bruneau. 2003-06-03. The ground state problem for a quantum Hamiltonian model describing friction. https://arxiv.org/abs/math-ph/0306011

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