Quantization of nonsmooth curves and the semiclassical spectrum of the one-dimensional Schrödinger operator with a localized perturbation of the potential
DOI10.1134/s1061920823020073zbMath1529.35471OpenAlexW4381108788MaRDI QIDQ6174385
I. A. Lavrinenko, Andrej I. Shafarevich
Publication date: 14 July 2023
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920823020073
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Geometric quantization (53D50)
Cites Work
- Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes
- Adiabatic perturbation of a periodic potential
- Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity
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