arXiv subjects

V. A. Lensky

Publications and source records attributed to V. A. Lensky.

4 recordsLinked to original sources

arXiv2007

Study of Stability of a Charged Topological Soliton in the System of Two Interacting Scalar Fields

An analytical-numerical analysis of the singular self-adjoint spectral problem for a system of three linear ordinary second-order differential equations defined on the entire real exis is presented. This problem comes to existence in the nonlinear field theory. The dependence of the differential equations on the spectral parameter is nonlinear, which results in a quadratic operator Hermitian pencil.

hep-th↗

arXiv2003

Neutron - Antineutron Oscillations in a Trap Revisited

We have reexamined the problem of $n-\bar n$ oscillations for ultra-cold neutrons (UCN) confined within a trap. It is shown that for up to $10^3$ collisions with the walls the process can be described in terms of wave packets. The exact equation is derived describing the time-evolution of the $\bar n$-component for an arbitrary number of collisions with the trap walls. The $\bar n$-component grows linearly with time with enhancement factor depending on the reflection properties of the walls.

hep-ph↗

arXiv2002

Perturbative approach to the hydrogen atom in strong magnetic field

The states of hydrogen atom with principal quantum number n <= 3 and zero magnetic quantum number in constant homogeneous magnetic field H are considered. The perturbation theory series is summed with the help of Borel transformation and conformal mapping of the Borel variable. Convergence of approximate energy eigenvalues and their agreement with corresponding existing results are observed for external fields up to n^3 H ~ 5. The possibility of restoring the asymptotic behaviour of energy levels using perturbation theory coefficients is also discussed.

physics.atom-ph↗

arXiv2001

On U(1)-charged domain walls

A classical field system of two interacting fields -- a real Higgs field and a complex scalar field -- is considered. It is shown that in such field system a non-trivial solution exists, which is U(1) charged topological kink. Some questions of stability of the obtained solution are discussed. An improved variational procedure for searching of topological U(1) charged solutions is given.

hep-th↗