4 papers · 1 filter
Resolvent Operator Transformations and Bound-State Solutions for Confluent Natanzon Potentials
S. -A. Yahiaoui, M. Bentaiba
An algebraic method of constructing the confluent Natanzon potentials endowed with position-dependent mass is presented. This is possible by identifying the scaling resolvent opera…
Line Laplace Transforms for obtaining the Exact Bound States for the Morse Potential
S. -A. Yahiaoui, M. Bentaiba
The line Laplace transforms is applied to the Morse potential. The wavefunctions and the energy levels through suitable path of integration are derived.
Pseudo-Hermiticity and weak pseudo-Hermiticity: Equivalence of complementarity and the coordinate transformations in position-dependent mass
S. -A. Yahiaoui, M. Bentaiba
The complementarity between the twin concepts of pseudo-Hermiticity and weak pseudo-Hermiticity, established by Bagchi and Quesne [Phys. Lett. A 301 (2002) 173-176], can be underst…
Generalized Morse and Poschl-Teller potentials : The connection via Schrodinger equation
S. -A. Yahiaoui, S. Hattou, M. Bentaiba
We present here a systematic and unified treatment to connect the Schrodinger equation corresponding to generalized Morse and Poschl-Teller potentials. We then show that the wave f…