6 citations · 6 across the 3 of their papers we have counts for
3 papers
cond-mat.other2026
General solution of the Dirac equation for electrons bound by a charged atomic chain
Alexander Eremko, Larissa Brizhik, Vadim Loktev
The system of electrons bound by a charged atom chain is studied within the Dirac theory. The general analytical solution of the Dirac equation is obtained. Analytical expression f…
cond-mat.mes-hall2024
Bound electron states in a charged chain within the Dirac description
Alexander Eremko, Larissa Brizhik, Vadim Loktev
For the first time the exact analytical expressions for the three-dimensional bound electron states in the Coulomb field of the chain consisting of positively charged ions, are obt…
quant-ph2022★ 6 cited
Algebra of the spinor invariants and the relativistic hydrogen atom
A. A. Eremko, L. S. Brizhik, V. M. Loktev
It is shown that the Dirac equation with the Coulomb potential can be solved using the algebra of the three spinor invariants of the Dirac equation without the involvement of the m…