259 citations · 3.2k across the 85 of their papers we have counts for
6 papers · 1 filter
Dirac oscillator with nonzero minimal uncertainty in position
C. Quesne, V. M. Tkachuk
In the context of some deformed canonical commutation relations leading to isotropic nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved f…
Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
B. Bagchi, A. Banerjee, C. Quesne +1
Known shape-invariant potentials for the constant-mass Schrodinger equation are taken as effective potentials in a position-dependent effective mass (PDEM) one. The corresponding s…
Effective-mass Schroedinger equation and generation of solvable potentials
B. Bagchi, P. Gorain, C. Quesne +1
A one-dimensional Schrödinger equation with position-dependent effective mass in the kinetic energy operator is studied in the framework of an algebra. New mass-deformed…
A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
B. Bagchi, P. Gorain, C. Quesne +1
A systematic procedure to study one-dimensional Schrödinger equation with a position-dependent effective mass (PDEM) in the kinetic energy operator is explored. The conventional fr…
Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
C. Quesne, V. M. Tkachuk
We show that there exist some intimate connections between three unconventional Schrödinger equations based on the use of deformed canonical commutation relations, of a position-de…
Conditionally exactly solvable potential and dual transformation in quantum mechanics
B. Bagchi, C. Quesne
We comment that the conditionally exactly solvable potential of Dutt et al. and the exactly solvable potential from which it is derived form a dual system.