Thermodynamic Limits for Hamiltonians Defined as Pseudodifferential Operators

DOI10.1081/PDE-120030402zbMath1072.35212OpenAlexW2064691721MaRDI QIDQ3157897

Christophe Royer, J. F. Nourrigat

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120030402

zbMATH Keywords

semiclassical Schrödinger operatorholomorphic semi-bounded symbolpseudo-differential extension

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• The classical limit of quantum partition functions
• Theory of nonlinear lattices
• Opérateurs pseudo-différentiels en dimension infinie. Étude de l'hypoellipticite et de la resolubilite dans des classes de fonctions hölderiennes et de distributions pour des opérateurs pseudo- différentiels elliptiques
• Around a stationary phase theorem in large dimension
• The classical limit of quantum spin systems
• Evolution Equations in a Large Number of Variables

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