Another Return of 'Return to Equilibrium'
| dc.creator | Fröhlich, Jürg | |
| dc.creator | Merkli, Marco | |
| dc.date | 2004-10-04 | |
| dc.date.accessioned | 2026-07-07T04:31:31Z | |
| dc.date.available | 2026-07-07T04:31:31Z | |
| dc.description | The property of ``{\it return to equilibrium}'' is established for a class of quantum-mechanical models describing interactions of a (toy) atom with black-body radiation, or of a spin with a heat bath of scalar bosons, under the assumption that the interaction strength is {\it sufficiently weak}. For models describing the first class of systems, our upper bound on the interaction strength is {\it independent} of the temperature $T$, (with $0<T\leq T_0<\infty$), while, for the spin-boson model, it tends to zero logarithmically, as $T\to 0$. Our result holds for interaction form factors with physically realistic infrared behaviour. Three key ingredients of our analysis are: a suitable concrete form of the Araki-Woods representation of the radiation field, Mourre's positive commutator method combined with a recent virial theorem, and a norm bound on the difference between the equilibrium states of the interacting and the non-interacting system (which, for the system of an atom coupled to black-body radiation, is valid for {\it all} temperatures $T\geq 0$, assuming only that the interaction strength is sufficiently weak). | |
| dc.identifier | https://arxiv.org/abs/math-ph/0410011 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0410011 | |
| dc.identifier | Comm. Math. Phys. 2004 | |
| dc.identifier | doi:10.1007/s00220-004-1176-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57841 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82C10; 47B25; 47B47 | |
| dc.title | Another Return of 'Return to Equilibrium' | |
| dc.type | text |