Thermodynamic formalism for quantum-mechanical systems

DOI10.1016/0167-2789(91)90074-JzbMath0734.58049MaRDI QIDQ810981

Christian Beck

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

chaosbibliographypartition functionthermodynamicsEuclidean quantum mechanics on a lattice

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (1)

From Ruelle's transfer operator to the Schrödinger operator

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Upper and lower bounds on the Renyi dimensions and the uniformity of multifractals
• Ergodic properties of a kicked damped particle
• The entropy function for characteristic exponents
• Irregular scattering
• The Ruelle-Araki transfer operator in classical statistical mechanics
• Effects of phase space discretization on the long-time behavior of dynamical systems
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.

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