3 papers
math-ph2009
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…
math-ph2009
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.
math-ph2009
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…