{"title":"Conservation of the number of nodes in the wavefunctions of one-electron diatomic quasimolecules","authors":"Tamaz Kereselidze, Irakli Noselidze","doi":"10.1140/epjd/s10053-024-00923-6","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p><h3>Graphical abstract</h3>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 11","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal D","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjd/s10053-024-00923-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
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Abstract
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.
期刊介绍：
The European Physical Journal D (EPJ D) presents new and original research results in:
Atomic Physics;
Molecular Physics and Chemical Physics;
Atomic and Molecular Collisions;
Clusters and Nanostructures;
Plasma Physics;
Laser Cooling and Quantum Gas;
Nonlinear Dynamics;
Optical Physics;
Quantum Optics and Quantum Information;
Ultraintense and Ultrashort Laser Fields.
The range of topics covered in these areas is extensive, from Molecular Interaction and Reactivity to Spectroscopy and Thermodynamics of Clusters, from Atomic Optics to Bose-Einstein Condensation to Femtochemistry.
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