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dc.contributor.author
Mazzitelli, Francisco Diego  
dc.contributor.author
Mazzitelli, Martin Diego  
dc.contributor.author
Soubelet, Pedro Ignacio  
dc.date.available
2018-01-22T22:25:15Z  
dc.date.issued
2017-10  
dc.identifier.citation
Mazzitelli, Francisco Diego; Mazzitelli, Martin Diego; Soubelet, Pedro Ignacio; Solutions of the Schroedinger equation for piecewise harmonic potentials: Remarks on the asymptotic behavior of the wave functions; American Association of Physics Teachers; American Journal of Physics; 85; 10; 10-2017; 750-756  
dc.identifier.issn
0002-9505  
dc.identifier.uri
http://hdl.handle.net/11336/34217  
dc.description.abstract
We discuss the solutions of the Schroedinger equation for piecewise potentials, given by the harmonic oscillator potential for |x|>a and by an arbitrary function for |x|<a, using elementary methods. The study of this problem sheds light on usual errors made in discussions of the asymptotic behavior of the eigenfunctions of the quantum harmonic oscillator and can also be used for the analysis of the eigenfunctions of the hydrogen atom. We present explicit results for the energy levels of a potential of this class, used to model the confinement of electrons in nanostructures.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Association of Physics Teachers  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Schroedinger Equation  
dc.subject
Harmonic Potential  
dc.subject
Asymptotic Expansion  
dc.subject.classification
Astronomía  
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Ciencias Físicas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Solutions of the Schroedinger equation for piecewise harmonic potentials: Remarks on the asymptotic behavior of the wave functions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-12-15T14:33:23Z  
dc.journal.volume
85  
dc.journal.number
10  
dc.journal.pagination
750-756  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Mazzitelli, Martin Diego. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Soubelet, Pedro Ignacio. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
American Journal of Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1119/1.4994808  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://aapt.scitation.org/doi/10.1119/1.4994808  

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