Continuity and relative Hamiltonians

DOI10.1007/BF02099078zbMath0743.46076MaRDI QIDQ1174235

Matthew J. Donald

Publication date: 25 June 1992

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

zbMATH Keywords

perturbed statesnorm convergent sequence of normal states on a von Neumann algebrarelative entropy inequality

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) States of selfadjoint operator algebras (46L30) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Internal symmetries and limiting Gibbs states in quantum lattice mean- field theories, The exponential Orlicz space in quantum information geometry, The proper formula for relative entropy and its asymptotics in quantum probability, Maximizing relative entropy at given energies

Cites Work

• Relative Hamiltonians which are not bounded from above
• On the relative entropy
• A variational expression for the relative entropy
• Sufficiency, KMS condition and relative entropy in von Neumann algebras
• Relative entropy for states of von Neumann algebras. II
• Relative Hamiltonian for faithful normal states of a von Neumann algebra
• Quantum theory and the brain
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