On the Extended Hilbert Space in the theory of the multielectron atom
Atomic Physics
2025-04-21 v1
Abstract
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 mathematical formalism of quantum mechanics of a multielectron atom. On the example of constructing the analytical structure of the probability amplitude 1s - 3p of photoexcitation of a neon atom, the implementation of the EHS - construct for solving the equations of the self-consistent Hartree-Fock field is given.
Keywords
Cite
@article{arxiv.2504.13329,
title = {On the Extended Hilbert Space in the theory of the multielectron atom},
author = {Alexey N. Hopersky and Alexey M. Nadolinsky and Rustam V. Koneev},
journal= {arXiv preprint arXiv:2504.13329},
year = {2025}
}
Comments
4 pages