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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 060, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.060 (Mi sigma737) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Ladder operators for quantum systems confined by dihedral angles

Eugenio Ley-Kooa, Guo-Hua Sunb

a Instituto de Física, Universidad Nacional Autónoma de México, México
b Centro Universitario Valle de Chalco, Universidad Autónoma del Estado de México, México
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DOI: https://doi.org/10.3842/SIGMA.2012.060
Abstract: We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; as well as for the hydrogen atom in the same situation of confinement, in spherical, parabolic and prolate spheroidal coordinates. The actions of such operators on any eigenfunction are examined in the respective coordinates, illustrating the possibility of generating the complete bases of eigenfunctions in the respective coordinates for both physical systems. The relationships between the eigenfunctions in each pair of coordinates, and with the same eigenenergies are also illustrated.
Keywords: Ladder operators; harmonic oscillator; hydrogen atom; confinement in dihedral angles.
Received: June 29, 2012; in final form September 7, 2012; Published online September 12, 2012
Bibliographic databases:
Document Type: Article
MSC: 20C35; 33C47; 35J15; 35J25; 81Q05; 81R05
Language: English
Citation: Eugenio Ley-Koo, Guo-Hua Sun, “Ladder operators for quantum systems confined by dihedral angles”, SIGMA, 8 (2012), 060, 15 pp.
Citation in format AMSBIB
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\paper Ladder operators for quantum systems confined by dihedral angles
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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