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 …

Approximate analytical and numerical solutions of the three-dimensional Logunov-
Tavkhelidze equation are found for the spherically symmetric case. Solutions are obtained in …

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 …

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 …

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 …

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 …

Найдены приближенные аналитические решения уравнения Логунова–Тавхелидзе в
случае потенциала, который в одномерном релятивистском конфигурационном …

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 …

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) …

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 …