An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
Rowe, D. J.
arXiv, 0510086 / Harvested from arXiv
Text on arXiv
Explicit expressions are given for the actions and radial matrix elements of basic radial observables on multi-dimensional spaces in a continuous sequence of orthonormal bases for unitary SU(1,1) irreps. Explicit expressions are also given for SO(N)-reduced matrix elements of basic orbital observables. These developments make it possible to determine the matrix elements of polynomial and a other Hamiltonians analytically, to within SO(N) Clebsch-Gordan coefficients, and to select an optimal basis for a particular problem such that the expansion of eigenfunctions is most rapidly convergent.
Publié le : 2005-10-25
Classification:  Mathematical Physics 
@article{0510086,
     author = {Rowe, D. J.},
     title = {An algebraic approach to problems with polynomial Hamiltonians on
  Euclidean spaces},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510086}
}

Rowe, D. J. An algebraic approach to problems with polynomial Hamiltonians on
  Euclidean spaces. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510086/