Published November 2018 | Version v1
Journal article Metadata-only

The Symmetrized Square-Root Potential: Exact Solutions and Application to the Two-Dimensional Massless Dirac Equation

Creators

  • 1. Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, Gary (United States)

Description

We determine bound-state solutions and associated energy eigenvalues of a boundary-value problem that is governed by the Schrödinger equation for a symmetrized, inverse square-root potential. We use these results to construct a scalar potential for which the two-dimensional massless Dirac equation admits zero-energy solutions. (author)

Additional details

Identifiers

DOI
10.1007/s00601-018-1436-1;

Publishing Information

Journal Title
Few-Body Systems
Journal Volume
59
Journal Issue
6
Journal Page Range
p. 115
ISSN
0177-7963
CODEN
FBSYEQ

INIS

Country of Publication
Austria
Country of Input or Organization
Austria
INIS RN
50008796
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BOUND STATE; BOUNDARY-VALUE PROBLEMS; DIRAC EQUATION; EIGENVALUES; EXACT SOLUTIONS; POTENTIALS; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS
Descriptors DEC
CRYSTAL LATTICES; CRYSTAL STRUCTURE; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS