Pseudomodes of Schrödinger operators

David Krejčiřík; Petr Siegl

doi:10.3389/fphy.2024.1479658

Pseudomodes of Schrödinger operators

David Krejčiřík^*
, Petr Siegl

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

Research output: Contribution to journal › Article › peer-review

Abstract

Pseudomodes of non-self-adjoint Schrödinger operators corresponding to large pseudoeigenvalues are constructed. The approach is non-semiclassical and extendable to other types of models including the damped wave equation and Dirac operators.

Original language	English
Article number	1479658
Journal	Frontiers in Physics
Volume	12
DOIs	https://doi.org/10.3389/fphy.2024.1479658
Publication status	Published - 2024

Keywords

complex potentials
non-self-adjointness
pseudospectrum
Schrödinger operators
WKB method

ASJC Scopus subject areas

Biophysics
Materials Science (miscellaneous)
Mathematical Physics
General Physics and Astronomy
Physical and Theoretical Chemistry

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10.3389/fphy.2024.1479658Licence: CC BY 4.0

Cite this

@article{6bc347d8c99e4ff9b578410819c5899a,

title = "Pseudomodes of Schr{\"o}dinger operators",

abstract = "Pseudomodes of non-self-adjoint Schr{\"o}dinger operators corresponding to large pseudoeigenvalues are constructed. The approach is non-semiclassical and extendable to other types of models including the damped wave equation and Dirac operators.",

keywords = "complex potentials, non-self-adjointness, pseudospectrum, Schr{\"o}dinger operators, WKB method",

author = "David Krej{\v c}i{\v r}{\'i}k and Petr Siegl",

note = "Publisher Copyright: Copyright {\textcopyright} 2024 Krej{\v c}i{\v r}{\'i}k and Siegl.",

year = "2024",

doi = "10.3389/fphy.2024.1479658",

language = "English",

volume = "12",

journal = "Frontiers in Physics",

issn = "2296-424X",

publisher = "Frontiers Media S. A.",

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TY - JOUR

T1 - Pseudomodes of Schrödinger operators

AU - Krejčiřík, David

AU - Siegl, Petr

PY - 2024

Y1 - 2024

N2 - Pseudomodes of non-self-adjoint Schrödinger operators corresponding to large pseudoeigenvalues are constructed. The approach is non-semiclassical and extendable to other types of models including the damped wave equation and Dirac operators.

AB - Pseudomodes of non-self-adjoint Schrödinger operators corresponding to large pseudoeigenvalues are constructed. The approach is non-semiclassical and extendable to other types of models including the damped wave equation and Dirac operators.

KW - complex potentials

KW - non-self-adjointness

KW - pseudospectrum

KW - Schrödinger operators

KW - WKB method

UR - https://www.scopus.com/pages/publications/85208616227

U2 - 10.3389/fphy.2024.1479658

DO - 10.3389/fphy.2024.1479658

M3 - Article

AN - SCOPUS:85208616227

SN - 2296-424X

VL - 12

JO - Frontiers in Physics

JF - Frontiers in Physics

M1 - 1479658

ER -

Pseudomodes of Schrödinger operators

Abstract

Keywords

ASJC Scopus subject areas

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