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PHASE TRANSITION IN THE SEMICLASSICAL REGIME

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Publication:2711622
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DOI10.1142/S0129055X00000599zbMath1174.81318OpenAlexW1975050933MaRDI QIDQ2711622

Bernard Helffer, André Martinez

Publication date: 5 July 2001

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

Full work available at URL: https://doi.org/10.1142/s0129055x00000599



Mathematics Subject Classification ID

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


Related Items (1)

Existence and a priori estimates for Euclidean Gibbs states



Cites Work

  • Krein's formula and one-dimensional multiple-well
  • On the Born-Oppenheimer expansion for polyatomic molecules
  • Instantons, double wells and large deviations
  • Multiple wells in the semi-classical limit I
  • Effet tunnel entre puits degeneres
  • Splitting in large dimension and infrared estimates. II. Moment inequalities
  • The double-well splitting of the low energy levels for the Schrödinger operator of discrete φ4-models on tori




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