Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential
Jing-Ling Chen; Yong Liu; Mo-Lin Ge; Jing-Ling Chen; Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China; Yong Liu; Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China; Mo-Lin Ge; Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1998-07-31
Аннотация:
Nonlinear deformation algebra are realized in a physical system with Pöschl-Teller potential. The raising and lowering operators satisfying this algebra are constructed, from which the eigenproblem of the system can be exactly solved by the operator method. The physical meaning of two deforming functions involved in this algebra is also found. In addition, algebra is obtained naturally, and discussions on the coherent state are also made.
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