2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry
Jafarizadeh, M. A. ; Panahi-Talemi, H. ; Faizi, E.
arXiv, 0005019 / Harvested from arXiv
Text on arXiv
Via a special dimensional reduction, that is, Fourier transforming over one of the coordinates of Casimir operator of su(2) Lie algebra and 4-oscillator Hamiltonian, we have obtained 2 and 3 dimensional Hamiltonian with shape invariance symmetry. Using this symmetry we have obtained their eigenspectrum. In the mean time we show equivalence of shape invariance symmetry and Lie algebraic symmetry of these Hamiltonians.
Publié le : 2000-05-16
Classification:  Mathematical Physics 
@article{0005019,
     author = {Jafarizadeh, M. A. and Panahi-Talemi, H. and Faizi, E.},
     title = {2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0005019}
}

Jafarizadeh, M. A.; Panahi-Talemi, H.; Faizi, E. 2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0005019/