On The Spectrum of A Electro-Magnetic Scrodinger Operator

Karakılıç S.

5. International Conference on Life and Engineering Sciences, Antalya, Türkiye, 19 - 22 Mayıs 2022, ss.122

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.122
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.