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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv
Authors: Ming-Guang Hu, Jing-Ling Chen

Year

2007

Paper ID

50004

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

N/A

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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  • 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.

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