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Exactly Solvable Potentials by SO(2,2) Dynamical Algebra
S. -A. Yahiaoui, M. Bentaiba
The differential realization of the potential group SO(2,2) is used. The spectrum-generating algebra for a kind of exactly solvable potentials endowed with position-dependent mass…
Weak-Pseudo-Hermiticity of Non-Hermitian Hamiltonians with Position-Dependent Mass
S. -A. Yahiaoui, M. Bentaiba
We extend the definition of eta-weak-pseudo-Hermiticity to the class of potentials endowed with position-dependent mass. The construction of non-Hermitian Hamiltonians through some…
The effective potential and resummation procedure to multidimensional complex cubic potentials for weak and strong-coupling
S. -A. Yahiaoui, O. Cherroud, M. Bentaiba
The method for the recursive calculation of the effective potential is applied successfully in case of weak coupling limit (g tend to zero) to a multidimensional complex cubic pote…
New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass
S. -A. Yahiaoui, H. Zerguini, M. Bentaiba
Four new exactly solvable, real and shape-invariant potentials associated with a position-dependent effective mass are generated within the concept of shape-invariant potentials us…