A New Kind of Shift Operators for Infinite Circular and Spherical Wells
Joint Authors
Launey, K. D.
Sun, Guo-Hua
Draayer, Jerry
Dytrych, T.
Dong, Shi-Hai
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-22
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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±=Px±iPy play the role of shift operators.
The Px and Py operators, the third projection of the orbital angular momentum operator Lz, 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 ψlm(r) and ψ(l ± 1)(m±1)(r).
American Psychological Association (APA)
Sun, Guo-Hua& Launey, K. D.& Dytrych, T.& Dong, Shi-Hai& Draayer, Jerry. 2014. A New Kind of Shift Operators for Infinite Circular and Spherical Wells. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-513897
Modern Language Association (MLA)
Sun, Guo-Hua…[et al.]. A New Kind of Shift Operators for Infinite Circular and Spherical Wells. Advances in Mathematical Physics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-513897
American Medical Association (AMA)
Sun, Guo-Hua& Launey, K. D.& Dytrych, T.& Dong, Shi-Hai& Draayer, Jerry. A New Kind of Shift Operators for Infinite Circular and Spherical Wells. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-513897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513897