On bound states of Schrödinger equation with vanishing magnetic potential

In this paper, we study the existence of a bound state solution for the stationary Schrödinger equation, which includes both a magnetic potential and an electric potential. Under certain assumption about the exponential decay of the combined magnetic and electric potentials, the existence of a least...

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 64; no. 5
Main Authors Li, Baihong, Wei, Yuanhong
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.06.2025
Subjects
Schrodinger equation
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Summary:In this paper, we study the existence of a bound state solution for the stationary Schrödinger equation, which includes both a magnetic potential and an electric potential. Under certain assumption about the exponential decay of the combined magnetic and electric potentials, the existence of a least energy solution is established. Additionally, we provide a weaker sufficient condition for the existence of a bound state solution. Our approach is mainly based on the variational method.
Bibliography:ObjectType-Article-1
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ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-025-03004-7