10 papers
Nonrelativistic quantum theory of non-dipole effects in a multielectron atom: radiation transition operator
Alexey N. Hopersky, Alexey M. Nadolinsky, Rustam V. Koneev
In the work of Hopersky A.N. et al., arXiv: 2609.33494v1 [physics. atom-ph] in the Loudon integral representation, the general analytical structure of the complete operator of a mu…
Non-dipole effects in a multielectron atom
Alexey N. Hopersky, Alexey M. Nadolinsky, Rustam V. Koneev
This Letter establishes the analytical structure of the dipole radiation transition operator, taking into account non-dipole effects for a multielectron atom. The results summarize…
Non-dipole effects in two-photon double ionization of the K-shell of a beryllium-like atomic ion
Alexey N. Hopersky, Alexey M. Nadolinsky, Rustam V. Koneev +1
In the second order of the non-relativistic quantum perturbation theory and outside the framework of the dipole approximation for the operator of the radiation transition between c…
Non-dipole effects in two-photon sweeping of the K-shell of an atomic ion
A. N. Hopersky, A. M. Nadolinsky, S. A. Novikov +1
In the work [1], within the framework of a dipole approximation for the radiation transition operator, of the second-order nonrelativistic quantum perturbation theory and the Hartr…
Two-photon sweeping out of the K-shell of a heavy atomic ion
A. N. Hopersky, A. M. Nadolinsky, S. A. Novikov +1
Within the framework of the second-order non-relativistic quantum perturbation theory, the methods of the theory of irreducible tensor operators, and nonorthogonal orbitals, the ab…
Two-photon ionization of the K-shell of ions of the isonuclear sequence of a heavy atom
Alexey N. Hopersky, Alexey M. Nadolinsky, Sergey A. Novikov +1
The shape and absolute values of the generalized cross-sections of the two-photon resonant single ionization of the K-shell of ions of the isonuclear sequence of a heavy nickel ato…
On the Extended Hilbert Space in the theory of the multielectron atom
Alexey N. Hopersky, Alexey M. Nadolinsky, Rustam V. Koneev
The construction of the Extended Hilbert Space (EHS) is presented in the form of a direct sum of the spaces of vectors of finite and infinite norms as the main space in the mathema…
On summation of -Wigner symbols
Alexey N. Hopersky, Alexey M. Nadolinsky, Rustam V. Koneev
Within the framework of the theory of irreducible tensor operators, using well-known general analytical results for double sums () of products of two -Wigner symbols…
On the dipole approximation in the theory of photoionization of the atom
Alexey N. Hopersky, Alexey M. Nadolinsky, Rustam V. Koneev +1
In the nonrelativistic many-electron approximation of the theory of photoionization of the atom in the formalism of secondary quantization and the theory of irreducible tensor oper…
Two-photon resonance single ionization of the K-shell of an atomic ion
Alexey N. Hopersky, Alexey M. Nadolinsky, Sergey A. Novikov +1
The analytical structure and absolute values of the generalized cross-section of the two-photon resonance single ionization of the K-shell of a heavy neon-like ion of an iron atom…