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Title: Phase-integral method for the radial Dirac equation

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4895575· OSTI ID:22306036
 [1]
  1. KTH Royal Institute of Technology, SE-10044 Stockholm (Sweden)

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.

OSTI ID:
22306036
Journal Information:
Journal of Mathematical Physics, Vol. 55, Issue 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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