Splitting in large dimension and infrared estimates. II. Moment inequalities

DOI10.1063/1.532351zbMath0920.35124OpenAlexW1995129343MaRDI QIDQ4212994

Bernard Helffer

Publication date: 7 October 1998

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

Full work available at URL: https://doi.org/10.1063/1.532351

zbMATH Keywords

Schrödinger operatorlong-range ordergap between the first two eigenvalues

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (11)

Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Localization at low temperature and infrared bounds ⋮ PHASE TRANSITION IN THE SEMICLASSICAL REGIME ⋮ Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold ⋮ Tunneling for spatially cut-off \(P(\phi)_2\)-Hamiltonians ⋮ On the spectrum of semi-classical Witten-Laplacians and Schrödinger operators in large dimension ⋮ Sharp tunneling estimates for a double-well model in infinite dimension ⋮ EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. II: \(P(\phi)_2\)-model on a finite volume ⋮ A celebration of Jürg and Tom

Cites Work

• Correlation inequalities on some partially ordered sets
• The quasiclassical limit for the Schrödinger operator and phase transitions in quantum statistical physics
• Phase transitions for \(\phi_2^4\) quantum fields
• Gaussian correlation inequalities for ferromagnets

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