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PATH INTEGRAL SOLUTIONS FOR DEFORMED P ÖSCHL–TELLER-LIKE AND CONDITIONALLY SOLVABLE POTENTIALS

Christian Grosche

I discuss in this paper the behaviour of the solutions of the so-called q-hyperbolic potentials, i.e. Pöschl–Teller-like and conditionally solvable potentials, in terms of the path integral formalism. The differences in comparison to the usual Pöschl–Teller-like potentials are investigated, including the discrete energy spectra and the bound state wave-functions. 1 Introduction. In this paper I want to discuss some specific generalisations of Pöschl–Teller related potentials. They are based on a q-deformation of the usual hyperbolic potentials, and are denoted by (we assume without loss of generality q> 0) Consequently we defineI discuss in this paper the behaviour of the solutions of the so-called q-hyperbolic potentials, i.e. Pöschl–Teller-like and conditionally solvable potentials, in terms of the path integral formalism. The differences in comparison to the usual Pöschl–Teller-like potentials are investigated, including the discrete energy spectra and the bound state wave-functions. 1 Introduction. In this paper I want to discuss some specific generalisations of Pöschl–Teller related potentials. They are based on a q-deformation of the usual hyperbolic potentials, and are denoted by (we assume without loss of generality q> 0) Consequently we define

Jan 1, 199928 citations

ON Q-DEFORMED POSCHL-TELLER POTENTIALS

A. Freitas, S. Salamó

Il Nuovo Cimento BMay 1, 19990 citations

Generalized Coherent States for q-Deformed Hyperbolic Pöshel-Teller Potential

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