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

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2012-06, Vol.53 (6), p.1
Main Authors: Haouat, S., Chetouani, L.
Format: Article
Language:English
Subjects:
BOUND STATE
CARTESIAN COORDINATES
CONFIGURATION
COULOMB FIELD
DEGREES OF FREEDOM
DIRAC EQUATION
Exact sciences and technology
GREEN FUNCTION
HAMILTONIANS
Mathematical methods in physics
Mathematics
PATH INTEGRALS
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTIZATION
Quantum physics
Quantum theory
Sciences and techniques of general use
SPACE-TIME
SPIN
SUPERSYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
Variables
WAVE FUNCTIONS
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4725418