Adiabatic theorem in quantum statistical mechanics
- 1 December 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 26 (6) , 3646-3652
- https://doi.org/10.1103/physreva.26.3646
Abstract
We show that with suitable assumptions the equilibrium states are exactly the states invariant under adiabatic local perturbations. The relevance of this fact to the problem of ergodicity is discussed.Keywords
This publication has 13 references indexed in Scilit:
- Irreversibility in physics: Reflections on the evolution of ideas in mechanics and on the actual crisis in physicsFoundations of Physics, 1981
- Canonical scattering transformation in classical mechanicsPhysical Review A, 1981
- On the adiabatic theorem of quantum mechanicsJournal of Physics A: General Physics, 1980
- Scattering theory for quasi-free time automorphisms of C∗-algebras and von Neumann algebrasReports on Mathematical Physics, 1979
- Lehrbuch der Mathematischen PhysikPublished by Springer Nature ,1979
- Dynamical stability and pure thermodynamic phasesCommunications in Mathematical Physics, 1975
- On the equilibrium states in quantum statistical mechanicsCommunications in Mathematical Physics, 1967
- Adiabatic invariance to all ordersAnnals of Physics, 1959
- On the Adiabatic Theorem of Quantum MechanicsJournal of the Physics Society Japan, 1950
- Adiabatische Transformationen in der Quantentheorie und ihre Behandlung durch Niels BohrThe Science of Nature, 1923