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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, SU (1, 1) algebra is obtained naturally, and discussions on the coherent state are also made. †

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