On the Extended Hilbert Space in the theory of the multielectron atom
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.