Relativistic quantum particle in a time-dependent homogeneous field
SM Nagiyev, KS Jafarova - Physics Letters A, 2013 - Elsevier
A model of the relativistic quantum particle under the action of a time-dependent force is
considered. This exactly solvable model is realized in the one-dimensional relativistic …
considered. This exactly solvable model is realized in the one-dimensional relativistic …
Solution of the Logunov-Tavkhelidze Equation for the Three-Dimensional Oscillator Potential in the Relativistic Configuration Representation.
YA Grishechkin, VN Kapshai - Russian Physics Journal, 2019 - search.ebscohost.com
Approximate analytical and numerical solutions of the three-dimensional Logunov-
Tavkhelidze equation are found for the spherically symmetric case. Solutions are obtained in …
Tavkhelidze equation are found for the spherically symmetric case. Solutions are obtained in …
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation
YA Grishechkin, VN Kapshai - Theoretical and Mathematical Physics, 2022 - Springer
We construct approximate analytic solutions of the Logunov–Tavkhelidze equation in the
case of a potential that, in the one-dimensional relativistic configuration representation, has …
case of a potential that, in the one-dimensional relativistic configuration representation, has …
First and second-order relativistic corrections to the two and higher-dimensional isotropic harmonic oscillator obeying the spinless Salpeter equation
A Edery, P Laporte - Journal of Physics Communications, 2018 - iopscience.iop.org
We study the relativistic version of the d-dimensional isotropic quantum harmonic oscillator
based on the spinless Salpeter equation. This has no exact analytical solutions. We use …
based on the spinless Salpeter equation. This has no exact analytical solutions. We use …
Model of a relativistic oscillator in a generalized Schrödinger picture
RA Frick - Annalen der Physik, 2011 - Wiley Online Library
In a generalized Schrödinger picture, we consider the motion of a relativistic particle in an
external field (like in the case of a harmonic oscillator). In this picture the analogs of the …
external field (like in the case of a harmonic oscillator). In this picture the analogs of the …
On a dynamical symmetry group of the relativistic linear singular oscillator
SM Nagiyev, EI Jafarov, RM Imanov - Europhysics Letters, 2006 - iopscience.iop.org
An exact approach for the factorization of the relativistic linear singular oscillator is
proposed. This model is expressed by the finite-difference Schrödinger-like equation. We …
proposed. This model is expressed by the finite-difference Schrödinger-like equation. We …
Приближенное аналитическое решение уравнения Логунова–Тавхелидзе для одномерного осцилляторного потенциала в релятивистском …
ЮА Гришечкин, ВН Капшай - Теоретическая и математическая …, 2022 - mathnet.ru
Найдены приближенные аналитические решения уравнения Логунова–Тавхелидзе в
случае потенциала, который в одномерном релятивистском конфигурационном …
случае потенциала, который в одномерном релятивистском конфигурационном …
Relativistic quantum particle in a homogeneous external field
SM Nagiyev, SI Guliyeva - Physics Letters A, 2009 - Elsevier
The model of the relativistic quantum particle in a homogeneous external field is proposed.
This model is realized in the one-dimensional relativistic configurational x-space and is …
This model is realized in the one-dimensional relativistic configurational x-space and is …
Relativistic density functional theory posed in terms of difference equations
NH March - International journal of quantum chemistry, 2005 - Wiley Online Library
Because real atoms have ground states, while relativistic Hamiltonians do not, there is a first‐
principles reason to treat relativistic problems by means of density functional theory (DFT) …
principles reason to treat relativistic problems by means of density functional theory (DFT) …
The relativistic two-dimensional harmonic oscillator
SM Nagiyev, EI Jafarov, MY Efendiyev - arXiv preprint arXiv:0902.1073, 2009 - arxiv.org
The two-dimensional relativistic configurational $\vec r $-space is proposed and the exactly
solvable finite-difference model of the harmonic oscillator in this space is constructed. The …
solvable finite-difference model of the harmonic oscillator in this space is constructed. The …