On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain
DOI10.3233/asy-231848zbMath1528.35177OpenAlexW4310416888MaRDI QIDQ6070620
Publication date: 23 November 2023
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-231848
Dirichlet boundary conditionsasymptotics of eigenvaluesharmonic oscillatorAiry functionstrong electric fieldWeingarten mapStark effects
PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) Statistical mechanics of semiconductors (82D37) Electromagnetic theory (general) (78A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Cites Work
- Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
- Spectral methods in surface superconductivity
- Semi-classical analysis for the Schrödinger operator and applications
- Global stability of the normal state of superconductors in the presence of a strong electric current
- Plane waveguides with corners in the small angle limit
- Eigenvalues for the Robin Laplacian in domains with variable curvature
- On Spectral Properties of the Bloch--Torrey Operator in Two Dimensions
- Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains
- Surface superconductivity in 3 dimensions
- Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)
- Spectral Theory and its Applications
- On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields
- On a Schrödinger operator with a purely imaginary potential in the semiclassical limit
- Stark effect in finite-barrier quantum wells, wires, and dots
This page was built for publication: On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain
