KOLMOGOROV SYSTEMS AND ANOSOV SYSTEMS IN QUANTUM THEORY
DOI10.1142/S0219025701000401zbMath1039.81027OpenAlexW2002241017MaRDI QIDQ4460439
Publication date: 18 May 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025701000401
Quantum chaos (81Q50) Quantum field theory; related classical field theories (81T99) Quantum equilibrium statistical mechanics (general) (82B10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Operator algebra methods applied to problems in quantum theory (81R15) Dynamical aspects of statistical mechanics (37A60)
Related Items
Cites Work
- Causal independence and the energy-level density of states in local quantum field theory
- Extension of Jones' theory on index of arbitrary factors
- Dynamical entropy of C *-algebras and von Neumann algebras
- Modular structure of the local algebras associated with the free massless scalar field theory
- Algebraic fermion bosonization
- Generalized K-flows
- Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
- Non-Bernoullian quantum \(K\)-systems
- Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
- An algebraic characterization of vacuum states in Minkowski space
- Half-sided modular inclusions of von Neumann-algebras
- Clustering for algebraic \(K\)-systems
- Defining quantum dynamical entropy
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Free quasi-free states
- Entropy of Cuntz's canonical endomorphism.
- On modular inclusion and spectrum condition
- Quantum \(K\)-systems
- Simple injective subfactors
- Index for subfactors
- Dynamical approximation entropies and topological entropy in operator algebras
- An axiomatization of the lattice of higher relative commutants of a subfactor
- \(C^*\)-dynamical systems that are asymptotically highly anticommutative
- Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
- Algebraic K-systems
- HOW HOT IS THE DE SITTER SPACE?
- Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
- An Index Theory for Semigroups of *-Endomorphisms of and Type II1 Factors.
- Entropy and index for subfactors
- On the duality condition for a Hermitian scalar field
- Entropy of $C^\ast$-dynamical systems defined by bitstreams
- EQUIVALENCE OF MODULAR K AND ANOSOV DYNAMICAL SYSTEMS
- Modular groups of quantum fields in thermal states
- Quantum stochastic processes
- Anyons and the Bose-Fermi duality in the finite-temperature Thirring model
