• español
  • English
  • français
  • Deutsch
  • português (Brasil)
  • italiano
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UVaDOCCommunitiesBy Issue DateAuthorsSubjectsTitles

    My Account

    Login

    Statistics

    View Usage Statistics

    Share

    View Item 
    •   UVaDOC Home
    • SCIENTIFIC PRODUCTION
    • Grupos de Investigación
    • Física Matemática
    • FM - Artículos de revista
    • View Item
    •   UVaDOC Home
    • SCIENTIFIC PRODUCTION
    • Grupos de Investigación
    • Física Matemática
    • FM - Artículos de revista
    • View Item
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano

    Export

    RISMendeleyRefworksZotero
    • edm
    • marc
    • xoai
    • qdc
    • ore
    • ese
    • dim
    • uketd_dc
    • oai_dc
    • etdms
    • rdf
    • mods
    • mets
    • didl
    • premis

    Citas

    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/29265

    Título
    A singular one-dimensional bound state problem and its degeneracies
    Autor
    Erman, Fatih
    Gadella Urquiza, ManuelAutoridad UVA Orcid
    Tunali, Seçil
    Uncu, Haydar
    Año del Documento
    2017
    Editorial
    Springer
    Descripción
    Producción Científica
    Documento Fuente
    The European Physical Journal Plus, 2017, vol. 132. 19 p.
    Abstract
    We give a brief exposition of the formulation of the bound state problem for the one-dimensional system of N attractive Dirac delta potentials, as an N×N matrix eigenvalue problem (ΦA=ωA). The main aim of this paper is to illustrate that the non-degeneracy theorem in one dimension breaks down for the equidistantly distributed Dirac delta potential, where the matrix Φ becomes a special form of the circulant matrix. We then give elementary proof that the ground state is always non-degenerate and the associated wave function may be chosen to be positive by using the Perron-Frobenius theorem. We also prove that removing a single center from the system of N delta centers shifts all the bound state energy levels upward as a simple consequence of the Cauchy interlacing theorem.
    Palabras Clave
    Dirac delta potential
    Potencial delta de Dirac
    Departamento
    Física Teórica. Atómica y Óptica
    ISSN
    2190-5444
    DOI
    10.1140/epjp/i2017-11613-7
    Version del Editor
    https://link.springer.com/article/10.1140%2Fepjp%2Fi2017-11613-7
    Propietario de los Derechos
    © 2017 Springer
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/29265
    Tipo de versión
    info:eu-repo/semantics/submittedVersion
    Derechos
    openAccess
    Collections
    • FM - Artículos de revista [134]
    Show full item record
    Files in this item
    Nombre:
    Degeneracies_1D_REVISED-2.pdf
    Tamaño:
    315.2Kb
    Formato:
    Adobe PDF
    Thumbnail
    FilesOpen
    Attribution-NonCommercial-NoDerivatives 4.0 InternationalExcept where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International

    Universidad de Valladolid

    Powered by MIT's. DSpace software, Version 5.10