On The Spectrum of A Electro-Magnetic Scrodinger Operator
5. International Conference on Life and Engineering Sciences, Antalya, Türkiye, 19 - 22 Mayıs 2022, ss.122, (Özet Bildiri)
- 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.