On The Spectrum of A Electro-Magnetic Scrodinger Operator

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Karakılıç S.

5. International Conference on Life and Engineering Sciences, Antalya, Turkey, 19 - 22 May 2022, pp.122, (Summary Text)

• Publication Type: Conference Paper / Summary Text
• City: Antalya
• Country: Turkey
• Page Numbers: pp.122
• Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we consider an electromagnetic Schrödinger operator defined by the differential expression ݍ + ଶ) = (−݅∇ + ܳ)ݍ ,ܳ)ܮ in d-dimensional paralellepiped F, where d ≥ 2, with the Neumann boundary condition and investigate the asymptotic behavior of the eigenvalues of this operator which is more complicated than the study of the one with just electric potential (ܳ = 0). The goal is to obtain the perturbation series by using energy as a big parameter.