A remark on the semi-classical measure from -ℎ²\over2Δ+𝑉 with a degenerate potential 𝑉

DOI10.1090/S0002-9939-06-08702-8zbMath1111.35050OpenAlexW1504993760MaRDI QIDQ3425993

Yifeng Yu

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08702-8

zbMATH Keywords

Hessianprincipal eigenvalueWKB approximationdegenerate minimum point

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Mather measures selected by an approximation scheme

Cites Work

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• Semi-classical analysis for the Schrödinger operator and applications
• Some new PDE methods for weak KAM theory
• Towards a quantum analog of weak KAM theory
• On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics

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