Separation of variables and exact solution to the Dirac equation in curvilinear orthogonal coordinates with cylindrical symmetry

Journal Article · Thu Nov 01 00:00:00 EST 1990 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.528972· OSTI ID:6313432

Villalba, V M ^[1]

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1. Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas (IVIC), Apartado 21827, Caracas (Venezuela)

In the present article, a complete separation of variables in the Dirac equation for a free particle is achieved in parabolic cylinder and elliptical coordinates. The resulting system of ordinary differential equations is solved and the asymptotic behavior of the spinor solution is discussed.

• OSTI ID: 6313432
• Journal Information: Journal of Mathematical Physics (New York); (USA), Vol. 31:11; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC EQUATION
CURVILINEAR COORDINATES
ASYMPTOTIC SOLUTIONS
CHARGED PARTICLES
CYLINDRICAL CONFIGURATION
DIFFERENTIAL EQUATIONS
ELLIPTICAL CONFIGURATION
ORTHOGONAL TRANSFORMATIONS
SPINORS
SYMMETRY
CONFIGURATION
COORDINATES
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
TRANSFORMATIONS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory