Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials
Quantum Physics
2009-01-09 v1
Abstract
We mainly explore the linear algebraic structure like SU(2) or SU(1,1) of the shift operators for some one-dimensional exactly solvable potentials in this paper. During such process, a set of method based on original diagonalizing technique is presented to construct those suitable operator elements, J0, J_\pm that satisfy SU(2) or SU(1,1) algebra. At last, the similarity between radial problem and one-dimensional potentials encourages us to deal with the radial problem in the same way.
Keywords
Cite
@article{arxiv.0706.1606,
title = {Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials},
author = {Ming-Guang Hu and Jing-Ling Chen},
journal= {arXiv preprint arXiv:0706.1606},
year = {2009}
}