Dirac equation in the presence of coulomb and linear terms in (1 + 1) dimensions; the supersymmetric approach

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.04.010· OSTI ID:21452996

Zarrinkamar, S ^[1]; Rajabi, A A; Hassanabadi, H ^[1]

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1. Physics Department, Shahrood University of Technology, P.O. Box: 3619995161-316, Shahrood (Iran, Islamic Republic of)

Using the concept of supersymmetry, we exactly solve the Dirac equation in (1 + 1) dimension for a potential containing both linear and coulomb terms. This potential, due to its physical interpretation, is of interest within many areas of theoretical physics. To do this, using the SUSY approach, we first find the Hamiltonian of the corresponding Schroedinger equation and then, using the idea of shape invariance, find the eigenfunctions and eigenvalues.

• OSTI ID: 21452996
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 8 Vol. 325; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENFUNCTIONS
EIGENVALUES
ELECTRIC FIELDS
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
SUPERSYMMETRY
SYMMETRY
WAVE EQUATIONS