The main characteristics of the quantum oscillator coherent states including the two-particle Calogero interaction are investigated. We show that these Calogero coherent states are the eigenstates of the second-order differential annihilation operator which is deduced via R-deformed Heisenberg algebra or Wigner-Heisenberg algebraic technique and correspond… (More)
In the present letter we obtain a new representation for the Dirac oscillator based on the Clifford algebra Cℓ 7 .
In this comment we point out numerous errors in the paper of Alhaidari cited in the title.
A spin 1 2 relativistic particle described by a general potential in terms of the sum of the Coulomb potential with a Lorentz scalar potential is investigated via supersymmetry in quantum mechanics.
The N = 2 supersymmetry in quantum mechanics involving two-component eigenfunction is investigated.
We calculate the Green function for the Dirac equation describing a spin 1/2 particle in the presence of a potential which is a sum of the Coulomb potential V C = −A 1 /r and a Lorentz scalar V s = −A 2 /r. The bound state spectrum is obtained.
The S-matrix for a spin 1/2 particle in the presence of a potential which is the sum of the Coulomb potential V c = −A 1 /r and a Lorentz scalar potential V s = −A 2 /r is calculated.