A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential
From MaRDI portal
Publication:4603952
DOI10.1070/SM8773zbMath1387.34116OpenAlexW2735952061MaRDI QIDQ4603952
Dmitrii V. Nekhaev, Andrej I. Shafarevich
Publication date: 23 February 2018
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm8773
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential
- Asymptotics of eigenvalues of a second-order non-self-adjoint differential operator on the axis
- Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators
- Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution
- Quantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potential
- Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients
- Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere
- Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients
- Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential
- The limit behavior of the spectrum for large parameter values in a model problem
- Quasiclassical spectral asymptotics and the Stokes phenomenon for the Weber equation.
- On a model problem for the Orr-Sommerfeld equation with linear profile
- Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution
- On the concentration of spectrum in the model problem of singular perturbation theory
- Faster than Hermitian Quantum Mechanics
- On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile
- Non-self-conjugate singular perturbations: a model of transition from a discrete to a continuous spectrum
- Pseudospectra of the Orr–Sommerfeld Operator
This page was built for publication: A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential
