Taking into account the importance of the unified theory of quantum mechanics and gravity,
and the existence of a minimal length of the order of the Planck scale, we consider a …

In this work we study the Dirac equation in a curved static space–time, where the metric
depends on two arbitrary functions f (r) and g (r), namely the line element is ds 2= e 2 f (r) dt …

We solve the Schrödinger wave equation for the generalized Morse and cusp molecular
potential models. In the limit of high temperature we, first, need to calculate the canonical …

In this paper, we solve the Feynman Kernel for the q-deformed hyperbolic Scarf potential for
any ℓ-states. We propose an accurate generalization of the Pekeris approximation of the …

In this comment, we point out a series of errors made by Senjaya in your paper (2024)[1]. In
particular, these errors involved the Dirac equation in the 3+ 1 dimensional Schwarzschild …

High-power lasers develop high energy per unit time, and as energy curves space, we
expect atomic energy levels to change. The fluorescence spectrum is a good measurement …

We construct two Darboux transformations of arbitrary order for the Dirac equation in
cylindrical coordinates. The systems we consider include a vector potential and a position …

We construct new Darboux transformations for one-dimensional stationary Dirac and Klein–
Gordon equations. The transformed solutions and potentials are expressed in closed form …

In this paper, we determine the relativistic bound-state solutions for the charged (DO) Dirac
oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime in $(2+ 1) …

The Dirac equation is considered with the recently proposed generalized gravitational
interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum …