Non-commutative geometry and application to schrödinger equation with certain central potentials
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
We obtain exact solutions of the 2D Schr¨odinger equation with the central potentials V (r) = ar2 + br?2 + cr?4 and V (r) = ar?1+br?2 in a non-commutative space up to the first order of noncommutativity parametert using the power-series expansion method similar to the 2D Schr¨odinger equation with the singular even-power and inverse-power potentials respectively in commutative space. We derive the exact non-commutative energy levels and show that the energy is shifted to m levels, as in the Zeeman effect.
Açıklama
Anahtar Kelimeler
Non-commutative geometry, Solutions of wave equations, Bound states, Algebraic methods
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Slimane, Z. (2019). Non-commutative geometry and application to schrödinger equation with certain central potentials. International Conference of Mathematical Sciences (ICMS 2019). s. 176.
