Relativistic spectral comparison theorem in two dimensions

Journal Article · Tue Feb 01 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.024102· OSTI ID:20650137

Gang, Chen ^[1]

---

1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000 (China)

We demonstrate a spectral comparison theory for the two-dimensional Dirac equation which states that for a given mass, if two time-independent attractive potentials are different such that V{sub a}<V{sub b}, the corresponding energy spectrum satisfies the condition E{sub a}<E{sub b}. As an illustrative example, the comparison relation is applied to calculate the energy spectrum of the two-dimensional Dirac equation with a Coulomb plus linear potential.

• OSTI ID: 20650137
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
COMPARATIVE EVALUATIONS
DIRAC EQUATION
ELECTRIC POTENTIAL
ENERGY SPECTRA
POTENTIAL ENERGY
POTENTIALS
QUANTUM MECHANICS
RELATIVISTIC RANGE
TWO-DIMENSIONAL CALCULATIONS