![](/images/graphics-bg.png)
Spinors and Rodrigues Representations Associated with Orthogonal Polynomials
Author
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
An effective approach is presented to produce Schrödinger-like equation for the spinor components from Dirac equation.
Considering electrostatic potential as a constant value yields a second-order differential equation that is comparable with the well-known solvable models in the nonrelativistic quantum mechanics for the certain bound state energy spectrum and the well-known potentials.
By this comparison, the gauge field potential and the relativistic energy can be written by the nonrelativistic models and the spinors will be related to the orthogonal polynomials.
It has also shown that the upper spinors wave functions based on the orthogonal polynomials can be given in terms of the Rodrigues representations.
Association with the Rodrigues representations of orthogonal polynomials has also been investigated in the lower spinor components, since they are related to the upper spinor components according to first-order differential equation that is attained from Dirac equation.
American Psychological Association (APA)
Bakhshi, Zahra. 2018. Spinors and Rodrigues Representations Associated with Orthogonal Polynomials. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1118165
Modern Language Association (MLA)
Bakhshi, Zahra. Spinors and Rodrigues Representations Associated with Orthogonal Polynomials. Advances in High Energy Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1118165
American Medical Association (AMA)
Bakhshi, Zahra. Spinors and Rodrigues Representations Associated with Orthogonal Polynomials. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1118165
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118165