Eigenvalue splitting of polynomial order for a system of Schrödinger operators with energy-level crossing

DOI10.1007/S00220-021-04123-WzbMath1471.81025OpenAlexW3171428511MaRDI QIDQ2050070

Setsuro Fujiié, Marouane Assal

Publication date: 30 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00220-021-04123-w

zbMATH Keywords

Bohr-Sommerfeld quantization

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear ordinary differential equations and systems (34A30) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Partially hyperbolic systems and dominated splittings (37D30) Lagrange's equations (70H03) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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