On Dirac-Coulomb problem in (2+1) dimensional space-time and path integral quantization

Journal Article · Fri Jun 15 00:00:00 EDT 2012 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4725418· OSTI ID:22093614

Haouat, S. ^[1]; Chetouani, L. ^[2]

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1. L.P.Th, Departement de physique, Universite de Jijel, BP 98, Ouled Aissa, Jijel 18000 (Algeria)
2. Departement de Physique, Faculte de Sciences, Universite Mentouri, Route Ain El-Bey, Constantine 25000 (Algeria)

The problem of Dirac particle interacting with Coulomb potential in (2+1) dimensions is formulated in the framework of super-symmetric path integrals where the spin degrees of freedom are described by odd Grassmannian variables. The relative propagator is expressed through Cartesian coordinates in a Hamiltonian form by the use of an adequate transformation. The passage to the polar coordinates permitted us to calculate the fixed energy Green's function and to extract bound states and associating wave functions.

• OSTI ID: 22093614
• Journal Information: Journal of Mathematical Physics, Vol. 53, Issue 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CARTESIAN COORDINATES
CONFIGURATION
COULOMB FIELD
DEGREES OF FREEDOM
DIRAC EQUATION
GREEN FUNCTION
HAMILTONIANS
PATH INTEGRALS
QUANTIZATION
SPACE-TIME
SPIN
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
WAVE FUNCTIONS