259 citations · 2k across the 75 of their papers we have counts for
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math-ph2004★ 189 cited
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…
quant-ph2004★ 191 cited
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…
math-ph2004★ 259 cited
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…