Return to thermal equilibrium by the solution of a quantum Langevin equation (Q1080564)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Return to thermal equilibrium by the solution of a quantum Langevin equation |
scientific article; zbMATH DE number 3967631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Return to thermal equilibrium by the solution of a quantum Langevin equation |
scientific article; zbMATH DE number 3967631 |
Statements
Return to thermal equilibrium by the solution of a quantum Langevin equation (English)
0 references
1984
0 references
A quantum-mechanical treatment of the evolution of an anharmonic oscillator coupled to a heat bath is given. It is shown that for a certain class of anharmonic potentials the heat bath drives the oscillator to an equilibrium state, close to the quantum Gibbs state associated to the potential. Thus a partial proof is provided for a conjecture of \textit{R. Benguria} and \textit{M. Kac} [Quantum Langevin equation. Phys. Rev. Lett. 46, 1-4 (1981)].
0 references
Langevin equation
0 references
von Neumann algebras
0 references
quantum-mechanical treatment of the evolution of an anharmonic oscillator
0 references
heat bath
0 references
quantum Gibbs state
0 references
