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
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semiclassical asymptotics of the matrix Sturm-Liouville problem
- On the mathematical theory of predissociation
- Precise estimates for tunneling and eigenvalues near a potential barrier
- On the Born-Oppenheimer expansion for polyatomic molecules
- Complex eigenvalue splitting for the Dirac operator
- Widths of resonances above an energy-level crossing
- Determination of non-adiabatic scattering wave functions in a Born-Oppenheimer model
- Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction
- The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr–Sommerfeld quantization condition, revisited
- Bohr-Sommerfeld quantization rules revisited: the method of positive commutators
- Resonance free domain for a system of Schrödinger operators with energy-level crossings
- On the mathematical treatment of the Born-Oppenheimer approximation
- Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
- A time-dependent Born-Oppenheimer approximation with exponentially small error estimates.
This page was built for publication: Eigenvalue splitting of polynomial order for a system of Schrödinger operators with energy-level crossing
