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arXiv · 0706.1606

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

Ming-Guang Hu·Jing-Ling Chen
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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.

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Ming-Guang Hu, Jing-Ling Chen. 2007-06-12. Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials. https://doi.org/10.1007/s10773-006-9333-7

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