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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.
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.
We calculate the Green's functions for the particle-vortex system, for two anyons on a plane with and without a harmonic regulator and in a uniform magnetic field. These Green's functions which describe scattering or bound states (depending on the specific potential in each case) are obtained exactly using an algebraic method related to the SO(2,1) Lie… (More)
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 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.