Perturbation theory of C*-systems without norm-continuity properties

DOI10.1063/1.529079zbMath0778.46046OpenAlexW1973114662MaRDI QIDQ3987312

Anton Amann

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529079

zbMATH Keywords

ground stateinvariant stateKMS-stateperturbed dynamicsauxiliary pointwise norm-continuous dynamical systemDynamical \(C^*\)-systems without norm- continuity propertiesdynamics of a boson-type systemGel'fand-Naimark-Segal Hamiltonian with an eigenvalue at the lower end of the Hamiltonian's spectrumSpohn's ground states of the spin-boson modelsuitable Hilbert space representationszero limit of thermic equilibrium states

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50)

Cites Work

• The equilibrium states of the spin-boson model
• Ground state(s) of the spin-boson Hamiltonian
• Translating the spin-boson model into a classical system
• Tunnelling in the equilibrium state of a spin-boson model
• Invariant states of C*-systems without norm-continuity properties