Factorization method for Schrodinger equation in relativistic configuration space and q-deformations
Yükleniyor...
Dosyalar
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maik Nauka/Interperiodica/Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Review paper is devoted to the relativistic configuration space (RCS) concept, a version of the relativistic Quantum Mechanics in RCS, the generalization of the Dirac-Infeld-Hall factorization method in the framework of the noncommutative differential calculus natural for RCS, different versions of the deformed oscillators, emerging as the generalization of the harmonic oscillator for RCS. In the formulation of the Newton-Wigner postulates for the relativistic localized states the hypothesis of commutativity of the position operator components is silently accepted as an evident fact. In the present work it is shown that commutativity is not necessary condition and the alternative (noncommutative) approach to the relativistic position operator and localization concept can be realized in a framework of the physically as well as mathematically comprehensive scheme. The different generalizations of the Dirac-Infeld-Hall factorization method for this case are constructed. This method enables us to find out all possible generalizations of the most important nonrelativistic integrable case-the harmonic oscillator. It is shown also that the relativistic oscillator = q-oscillator.
Açıklama
Anahtar Kelimeler
Quantum, Localizability, Oscillators
Kaynak
Physics of Particles and Nuclei
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
44
Sayı
3