6 citations · 13 across the 8 of their papers we have counts for
8 papers
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…
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…
Supercharge Operator of Hidden Symmetry in the Dirac Equation
Tamari~T. Khachidze, Anzor~A. Khelashvili
As is known, the so-called Dirac -operator commutes with the Dirac Hamiltonian for arbitrary central potential . Therefore the spectrum is degenerate with respect to two s…
Teaching the hidden symmetry of the Kepler problem in relativistic quantum mechanics - from Pauli to Dirac electron
Tamari T. Khachidze, Anzor A. Khelashvili
Hidden symmetry in Coulomb interaction is one of the mysterious problems of modern physics. Additional conserved quantities associated with extra symmetry govern wide variety of ph…