General deformation schemes and N = 2 supersymmetric quantum mechanics

Bijan Kumar Bagchi, K. Samanta

Mohammed Daoud A, Y. Hassouni

Won Sang Chung, HASSAN HASSANABADI

Bijan Kumar Bagchi

M. H. Traikia, N. Mebarki

A supersymmetric q-deformed quantum mechanics is studied in the weak deformation approximation of the Weyl-Heisenberg algebra. The corresponding supersymmetric q-deformed hamiltonians and charges are constructed explicitly.

Bruno G. da Costa, Genilson A. C. da Silva, Ignacio S. Gomez

We study the classical and quantum oscillator in the context of a non-additive (deformed) displacement operator associated with a position-dependent effective mass by means of the supersymmetric formalism. From the supersymmetric partner Hamiltonians and the shape invariance technique, we obtain the eigenstates and the eigenvalues along with the ladders operators, thus showing a preservation of the supersymmetric structure in terms of the deformed counterpartners. The deformed space in supersymmetry allows to characterize position-dependent effective mass and uniform field interactions and to obtain a generalized uncertainty relation (GUP) that behaves as a distinguishability measure for the coherent states, these latter satisfying a periodic evolution for the corrections of the GUP.