Exact Solution of the Curved Dirac Equation in Polar Coordinates: Master Function Approach. (31st May 2015)

• Record Type: Journal Article
• Authors: Panahi, H.; Jahangiri, L.
• Other Names: Liu Ming Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2015(2015)
• Publication Date: 2015-05-31
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2015/612757
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : 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.