9 citations · 17 across the 7 of their papers we have counts for
7 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…
Impact of magnetic fields on polaron dynamics in low-dimensional systems
Larissa Brizhik, B. M. A. G. Piette
We study the impact of an external magnetic field on the long-range electron transport in quasi-one-dimensional materials, such as polypeptides, (semi-) conducting polymers and mac…
Soliton radiation and role of the energy dissipation in soliton dynamics in an oscillating magnetic field
Larissa Brizhik
Dynamics of the Davydov's soliton in an external oscillating in time magnetic field is studied analytically. It is shown that in a field perpendicular to the molecular chain axis,…
Davydov's soliton in an external alternating magnetic field
Larissa Brizhik
The influence of an external oscillating in time magnetic field on the dynamics of the Davydov's soliton is investigated. It is shown that it essentially depends not only on the am…
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 of the Dirac equation for quasi-two-dimensional electrons
A. A. Eremko, L. S. Brizhik, V. M. Loktev
The general solution of the Dirac equation for quasi-two-dimensional electrons confined in an asymmetric quantum well, is found. The energy spectrum of such a system is exactly cal…
Spin states of Dirac equation and Rashba spin-orbit interaction
A. A. Eremko, L. S. Brizhik, V. M. Loktev
The problem of the spin states corresponding to the solutions of Dirac equation is studied. In particular, the three sets of the eigenfunctions of Dirac equation are obtained. In e…