8 citations · 14 across the 9 of their papers we have counts for
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Coulomb Potential and Witten Superalgebra
Anzor Khelashvili, Tamar Khachidze
The additional hidden symmetry of the Coulomb-Kepler problem is reviewed in classical as well as in quantum mechanics. The main purpose is to elucidate the role of this kind of sym…
Light Front Formalism for Composite Systems and Some of Its Applications in Particle and Relativistic Nuclear Physics
V. R. Garsevanishvili, A. A. Khelashvili, Z. R. Menteshashvili +1
Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors…
Supersymmetry in the Dirac equation for generalized Coulomb potential
Tamar T. Khachidze, Anzor A. Khelashvili
We propose a symmetry of the Dirac equation under the interchange of signs of eigenvalues of the Dirac's operator. We show that the only potential which obeys this requirement…
Algebraic derivation of spectrum of the Dirac Hamiltonian for arbitrary combination of Lorentz-scalar and Lorentz-vector Coulomb potentials
Tamar T. Khachidze, Anzor A. Khelashvili
Spectrum of the Dirac Equation is obtained algebraically for arbitrary combination of Lorentz-scalar and Lorentz-vector Coulomb potentials using the Witten's Superalgebra approach.…
On the nature of "hidden symmetry" or "accidental degeneracy" in the Kepler problem
Tamar T. Khachidze, Anzor A. Khelashvili
We propose a symmetry of the Dirac equation under the interchange of signs of eigenvalues of the Dirac's operator. We show that the only potential which obeys this requirement…
Dirac equation and its squared form
T. Khachidze, A. Khelashvili, T. Nadareishvili
It is shown that the squared operation of the Dirac equation which is widely applied may create new solutions and moreover may change the inner nature of original equation. Some il…