Zobrazeno 1 - 9
of 9
pro vyhledávání: '"81Q05, 81Q37"'
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 obtained within the Dirac description, using the new spinor invariant fou
Externí odkaz:
http://arxiv.org/abs/2411.14212
Autor:
Brizhik, Larissa
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, soliton wavefunction is a product of the electron plane wave in the pl
Externí odkaz:
http://arxiv.org/abs/2408.07491
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 the novel approach, based on the exact solution of the Dirac equation wi
Externí odkaz:
http://arxiv.org/abs/2406.03350
Autor:
Brizhik, Larissa
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 amplitude and frequency of the magnetic field, but also on the field ori
Externí odkaz:
http://arxiv.org/abs/2402.09172
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 methods of supersymmetric quantum mechanics. The Dirac Hamiltonian is i
Externí odkaz:
http://arxiv.org/abs/2211.01857
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 found new invariant. It is demonstrated that these operators are the spin
Externí odkaz:
http://arxiv.org/abs/2111.08552
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 Dirac equation, using the generalized invariant, and explicit express
Externí odkaz:
http://arxiv.org/abs/2009.09838
Publikováno v:
Ukrainian Journal of Physics, 2019. Vol. 64, No. 6, pp. 464-476
In frame of Dirac quantum field theory that describes electrons and positrons as elementary excitations of the spinor field, the generalized operator of the spin-orbit interaction is obtained using non-relativistic approximation in the Hamilton opera
Externí odkaz:
http://arxiv.org/abs/2003.14245
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 methods of supersymmetric quantum mechanics. The Dirac Hamiltonian is i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99c0a33748782179c97cd059fb36c44d
http://arxiv.org/abs/2211.01857
http://arxiv.org/abs/2211.01857