The quasiclassical limit for the Schrödinger operator and phase transitions in quantum statistical physics

DOI10.1007/BF01075275zbMath0834.47063MaRDI QIDQ1316820

V. S. Barbulyak, Yuri G. Kondratiev

Publication date: 12 April 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorphase transitionsquantum statistical physicsquasiclassical limitinverse temperatureperiodic Gibbs state

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

A phase transition in a quantum crystal with asymmetric potentials, Gibbs states of interacting systems of quantum anharmonic oscillators, Small mass implies uniqueness of Gibbs states of a quantum crystal, On a certain semiclassical problem on Wiener spaces, GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS, EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS, Euclidean Gibbs measures of interacting quantum anharmonic oscillators, Splitting in large dimension and infrared estimates. II. Moment inequalities, Ground state Euclidean measures for quantum lattice systems on compact manifolds., Gibbs states of a quantum crystal: Uniqueness by small particle mass

Cites Work

• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Krein's formula and one-dimensional multiple-well
• Homogeneous random fields and statistical mechanics
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