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Title: A New Kind of Shift Operators for Infinite Circular and Spherical Wells

A new kind of shift operators for infinite circular and spherical wells is identified. These shift operators depend on all spatial variables of quantum systems and connect some eigenstates of confined systems of different radii R sharing energy levels with a common eigenvalue. In circular well, the momentum operators P ± = P x ± i P y play the role of shift operators. The P x and P y operators, the third projection of the orbital angular momentum operator L z , and the Hamiltonian H form a complete set of commuting operators with the SO(2) symmetry. In spherical well, the shift operators establish a novel relation between ψ l m ( r ) and ψ ( l ± 1 ) ( m ± 1 ) ( r ) .
Authors:
 [1] ;  [2] ;  [2] ;  [3] ;  [2]
  1. Centro Universitario Valle de Chalco, Universidad Autónoma del Estado de México, 56615 Valle de Chalco Solidaridad, MEX, Mexico
  2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA
  3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA, Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, UPALM, 07738 Mexico, DF 07738, Mexico
Publication Date:
OSTI Identifier:
1198290
Grant/Contract Number:
SC0005248
Type:
Published Article
Journal Name:
Advances in Mathematical Physics
Additional Journal Information:
Journal Volume: 2014; Related Information: CHORUS Timestamp: 2016-08-19 00:53:22; Journal ID: ISSN 1687-9120
Publisher:
Hindawi Publishing Corporation
Sponsoring Org:
USDOE
Country of Publication:
Country unknown/Code not available
Language:
English