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

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dc.creatorHu, Ming-Guang
dc.creatorChen, Jing-Ling
dc.date2007-06-12
dc.date.accessioned2026-07-07T12:27:15Z
dc.date.available2026-07-07T12:27:15Z
dc.descriptionWe 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.
dc.descriptionNo figures, 9 Pages accepted by International Journal of Theoretical Physics
dc.identifierhttps://arxiv.org/abs/0706.1606
dc.identifierhttp://arxiv.org/abs/0706.1606
dc.identifierInt. J. Theor. Phys. 46, 2119 (2007)
dc.identifierdoi:10.1007/s10773-006-9333-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215147
dc.subjectQuantum Physics
dc.titleQuantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials
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