Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iop Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned, the S-matrix elements are computed by the method of intertwining operators and an integral representation is obtained for the scattering amplitude. It is shown that the maximal superintegrability of the system is due to the underlying potential group and that the 2n - 1 integrals of motion are related to Casimir operators of subgroups.
Açıklama
Anahtar Kelimeler
Hydrogen-Atom, Arbitrary Dimensions, Harmonic-Oscillator, Scattering, Quantum, Systems, Space
Kaynak
Journal Of Physics A-Mathematical And Theoretical
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
44
Sayı
35
