Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach
Joint Authors
Source
Advances in High Energy Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We show that the ( 2+1 ) curved Dirac equation in polar coordinates can be transformed into Schrodinger-like differential equation for upper spinor component.
We compare this equation with the Schrodinger equation derived from shape invariance property of second order differential equations of mathematical physics.
This formalism enables us to determine the electrostatic potential and relativistic energy in terms of master function and corresponding weight function.
We also obtain the spinor wave function in terms of orthogonal polynomials.
American Psychological Association (APA)
Panahi, H.& Jahangiri, L.. 2015. Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach. Advances in High Energy Physics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052542
Modern Language Association (MLA)
Panahi, H.& Jahangiri, L.. Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach. Advances in High Energy Physics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052542
American Medical Association (AMA)
Panahi, H.& Jahangiri, L.. Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach. Advances in High Energy Physics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052542