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On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian

Document type: Preprint

Abstract

The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and exceptional points.

General information

Issue date: 17 de julio de 2014
Document language: English
Journal: Journal of Mathematical Chemistry; vol. 52, no. 9
Origin: Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Others identifiers: arXiv:1405.6414v2 arXiv:http://arxiv.org/abs/1405.6414 hdl:11336/5147
ISSN: 0259-9791
Pages: 2322-2329
xmlui.dri2xhtml.METS-1.0.item-dc-subject: Avoided crossing ; Non-crossing rule ; Parameter-dependent operators ; Exceptional points
Subjects: Física

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Created: 3 de junio de 2020
Available since: 3 de junio de 2020
Please, use one of this identificators(URI) for cite o linking this item:
  • http://sedici.unlp.edu.ar/handle/10915/97408
  • https://doi.org/10.1007/s10910-014-0386-1

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    Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)