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JOURNALS // Izvestiya Vuzov. Severo-Kavkazskii Region. Natural Science // Archive

Izvestiya Vuzov. Severo-Kavkazskii Region. Natural Science, 2024, Issue 1, Pages 38–42 (Mi sfedu114)

On the extended Hilbert space

A. N. Hopersky, R. V. Koneev, A. M. Nadolinsky

Rostov State Transport University

Abstract: The construction of the extended Hilbert space 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 many-electron 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.

UDC: 517.983.24

Received: 20.09.2023
Accepted: 19.02.2024

DOI: 10.18522/1026-2237-2024-1-38-42



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© Steklov Math. Inst. of RAS, 2026