104 citations · 332 across the 10 of their papers we have counts for
11 papers
Thermostatistics in deformed space with maximal length
Salaheddine Bensalem, Djamil Bouaziz
The method for calculating the canonical partition function with deformed Heisenberg algebra, developed by Fityo (Fityo, 2008), is adapted to the modified commutation relations inc…
Deformed Heisenberg Algebra with a minimal length: Application to some molecular potentials
Djamil Bouaziz
We review the essentials of the formalism of quantum mechanics based on a deformed Heisenbeg algebra, leading to the existence of a minimal length scale. We compute in this context…
Comment on "Cornell potential in generalized uncertainty principle formalism: the case of Schrödinger equation"
Djamil Bouaziz
In the recent paper, Ref. 1, the l-waves Schrödinger equation for the Cornell's potential is solved in quantum mechanics with a generalized uncertainty principle by following Ref.…
Singular inverse square potential in coordinate space with a minimal length
Djamil Bouaziz, Tolga Birkandan
The problem of a particle of mass m in the field of the inverse square potential is studied in quantum mechanics with a generalized uncertainty principle, characterized by the exis…
Singular inverse-square potential: renormalization and self-adjoint extensions for medium to weak coupling
Djamil Bouaziz, Michel Bawin
We study the radial Schrödinger equation for a particle of mass in the field of the inverse-square potential in the medium-weak-coupling region, i.e., with $-1/4\leq2…
Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
Djamil Bouaziz
The Kratzer's potential is studied in quantum mechanics with a generalized uncertainty principle, which includes a minimal length $\left( ΔX\right) _{\mi…
Pseudoharmonic oscillator in quantum mechanics with a minimal length
Djamil Bouaziz, Abdelmalek Boukhellout
The pseudoharmonic oscillator potential is studied in non relativistic quantum mechanics with a generalized uncertainty principle characterized by the existence of a minimal length…
Klein-Gordon Equation with Coulomb Potential in the Presence of a Minimal Length
Djamil Bouaziz
We study the Klein-Gordon equation for Coulomb potential, V(r)=(-Ze^{2})/r, in quantum mechanics with a minimal length. The zero energy solution is obtained analytically in momentu…
Hydrogen atom in momentum space with a minimal length
Djamil Bouaziz, Nourredine Ferkous
A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation,which leads to a minimal length (ΔX_{i})_{min}= \hbar \sqrt(3β+β'), is pres…
Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
Djamil Bouaziz, Michel Bawin
We solve analytically the Schrödinger equation for the N-dimensional inverse square potential in quantum mechanics with a minimal length in terms of Heun's functions. We apply our…
Regularization of the Singular Inverse Square Potential in Quantum Mechanics with a Minimal length
Djamil Bouaziz, Michel Bawin
We study the problem of the attractive inverse square potential in quantum mechanics with a generalized uncertainty relation. Using the momentum representation, we show that this p…