Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials

Details Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials

2007-06-12

arxiv.org/abs/0706.1606v1

Int. J. Theor. Phys. 46, 2119 (2007)

Physics

Quantum Physics

No figures, 9 Pages accepted by International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-006-9333-7

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.

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