Artículo
Solutions of the Schroedinger equation for piecewise harmonic potentials: Remarks on the asymptotic behavior of the wave functions
Fecha de publicación:
10/2017
Editorial:
American Association of Physics Teachers
Revista:
American Journal of Physics
ISSN:
0002-9505
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Schroedinger Equation
,
Harmonic Potential
,
Asymptotic Expansion
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
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
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