skip to main content

SciTech ConnectSciTech Connect

Title: Phase-integral method for the radial Dirac equation

A phase-integral (WKB) solution of the radial Dirac equation is calculated up to the third order of approximation, retaining perfect symmetry between the two components of the wave function and introducing no singularities except at the zeroth-order transition points. The potential is allowed to be of scalar, vector, or tensor type, or any combination of these. The connection problem is investigated in detail. Explicit formulas are given for single-turning-point phase shifts and single-well energy levels.
Authors:
 [1]
  1. KTH Royal Institute of Technology, SE-10044 Stockholm (Sweden)
Publication Date:
OSTI Identifier:
22306036
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; DIRAC EQUATION; ENERGY LEVELS; INTEGRALS; MATHEMATICAL SOLUTIONS; PHASE SHIFT; POTENTIALS; SCALARS; SYMMETRY; VECTORS; WAVE FUNCTIONS