Known shape-invariant potentials for the constant-mass SchrÃ¶dinger equation are taken as effective potentials in a position-dependent effective mass (PDEM) one. The corresponding shape-invarianceâ€¦ (More)

We continue our previous application of supersymmetric quantum mechanical methods to eigenvalue problems in the context of some deformed canonical commuta-tion relations leading to nonzero minimalâ€¦ (More)

Using supersymmetric quantum mechanics we develop a new method for constructing quasi-exactly solvable (QES) potentials with two known eigenstates. This method is extended for constructingâ€¦ (More)

For composite systems made of N different particles living in a space characterized by the same deformed Heisenberg algebra, but with different deformation parameters, we define the total momentumâ€¦ (More)

We propose a new method for constructing the quasi-exactly solvable (QES) potentials with two known eigenstates using supersymmetric quantum mechanics. General expression for QES potentials withâ€¦ (More)

Spectrum and eigenfunctions in the momentum representation for 1D Coulomb-like potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is shown that correction dueâ€¦ (More)

Two generalizations of Kempfâ€™s quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation. The corresponding nonzeroâ€¦ (More)

The D-dimensional (Î², Î² â€²)-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)-dimensional quan-tized spacetime. In the D = 3 and Î² =â€¦ (More)

Maths-type q-deformed coherent states with q > 1 allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonicâ€¦ (More)