Work

Spectral Analysis of a Complex Schrödinger Operator in the Semiclassical Limit

Year: 2016

Type: article

Abstract: We consider the Dirichlet realization of the operator $-h^2\Delta+iV$ in the semiclassical limit $h\to0$, where $V$ is a smooth real potential with no critical points. For a one-dimensional setting, we obtain the complete asymptotic expansion, in powers of $h$, of each eigenvalue. In two dimensions we obtain the left margin of the spectrum, under some additional assumptions.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/15m1047222

Authors: Yaniv Almog, Raphaël Henry

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Agence Nationale de la Recherche, Division of Mathematical Sciences

Awards: Critical currents in superconductors, G8543835136

OpenAlex ID: W2231753645

FWCI: 1.647

Cites: 7

Cited by: 9

Related to: 20