99 citations · 197 across the 15 of their papers we have counts for
15 papers
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…
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…
Input of the Coulomb law modification to the Lamb shift of the hydrogen atom
A. A. Eremko, L. S. Brizhik, V. M. Loktev
Radiative corrections which remove accidental degeneracy in the spectrum of the relativistic hydrogen atom and lead to the modification of the Coulomb law, are calculated within th…
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…
General solution vs spin invariant eigenstates of the Dirac equation with the Coulomb potential
L. S. Brizhik, A. A. Eremko, V. M. Loktev
Solutions of the Dirac equation for an electron in the Coulomb potential are obtained using operator invariants of the equation, namely the Dirac, Johnson-Lippmann and recently fou…
General solution of the Dirac equation with the Coulomb potential
A. A. Eremko, L. Brizhik, V. M. Loktev
The Dirac equation with the Coulomb potential is studied. It is shown that there exists a new invariant in addition to the known Dirac and Johnson-Lippman ones. The solution of the…