Application of nonlinear deformation algebra to a physical system with P\"oschl-Teller potential

@article{Quesne1999ApplicationON,
  title={Application of nonlinear deformation algebra to a physical system with P\"oschl-Teller potential},
  author={C Quesne},
  journal={arXiv: Mathematical Physics},
  year={1999}
}
  • C. Quesne
  • Published 3 November 1999
  • Mathematics, Physics
  • arXiv: Mathematical Physics
We comment on a recent paper by Chen, Liu, and Ge (J. Phys. A: Math. Gen. 31 (1998) 6473), wherein a nonlinear deformation of su(1,1) involving two deforming functions is realized in the exactly solvable quantum-mechanical problem with P\" oschl-Teller potential, and is used to derive the well-known su(1,1) spectrum-generating algebra of this problem. We show that one of the defining relations of the nonlinear algebra, presented by the authors, is only valid in the limiting case of an infinite… 

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