https://doi.org/10.1140/epjd/s10053-024-00923-6
Regular Article – Molecular Physics and Chemical Physics
Conservation of the number of nodes in the wavefunctions of one-electron diatomic quasimolecules
1
Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0179, Tbilisi, Georgia
2
School of Science and Technology, University of Georgia, Kostava Str. 77a, 0171, Tbilisi, Georgia
Received:
24
August
2024
Accepted:
4
October
2024
Published online:
11
November
2024
The conservation of the number of nodes in the wavefunctions of one-electron diatomic quasimolecules is treated. The elaborated approach is focused on the behavior of separation constants and their relationship to the number of nodes as the distance between nuclei varies. By examining the separation constants for quasimolecules with different nuclear charges, we demonstrate the robustness of the number of nodes across different states and separations without explicitly defining the wavefunctions themselves.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
