Convergence of an exact quantization scheme

DOI10.1007/s00220-004-1112-9zbMath1068.81041arXivmath/0306218OpenAlexW2022918782MaRDI QIDQ1885616

Artur Avila

Publication date: 11 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0306218

zbMATH Keywords

Bohr-Sommerfeld quantization ruleone-dimensional homogeneous anarhmonic oscillatorVoros quantization scheme

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited ^* ⋮ A solvable deformation of quantum mechanics ⋮ On solutions of the Bethe Ansatz for the Quantum KdV model ⋮ Anharmonic oscillators in the complex plane, \(\mathcal{PT}\)-symmetry, and real eigenvalues ⋮ Entire functions, PT-symmetry and Voros's quantization scheme

Cites Work

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