Lie-algebraic description of the quantum superintegrable Smorodinsky-Winternitz system in n dimensions
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iop Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We apply the potential group method to a family of n-dimensional quantum Smorodinsky-Winternitz systems. The Hamiltonians of the systems are associated with first-order Casimir operators of the unitary group U(3n) restricted to certain subspaces of carrier space of the symmetric representation. Hence, the group U(3n) describes fixed energy states of a family of Smorodinsky-Winternitz systems with different potential strength. Moreover, it is shown that 2n - 1 integrals of motions (including the Hamiltonian) are related to Casimir operators of U(3n) and its subgroups.
Açıklama
Anahtar Kelimeler
Deformations, Oscillator, Scattering
Kaynak
Journal Of Physics A-Mathematical And Theoretical
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
45
Sayı
18
