Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential

Details Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential

1999-11-03

arxiv.org/abs/math-ph/9911004v1

J. Phys. A 32 (1999) 6705-6710

Physics

Mathematical Physics

9 pages, LaTeX, no figures

Scientific paper

10.1088/0305-4470/32/38/401

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 square well, and we determine the correct relation in the general case. We also use it to establish the correct link with su(1,1), as well as to provide an algebraic derivation of the eigenfunction normalization constant.

Affiliated with

Also associated with

No associations

Rating

Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554239