Phase-integral method for the radial Dirac equation | Zendy

Staffan Linnæus | Zendy

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Phase-integral method for the radial Dirac equation

Author(s) -

Staffan Linnæus

Publication year - 2014

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.4895575

Subject(s) - wkb approximation , dirac equation , integral equation , mathematics , mathematical analysis , gravitational singularity , scalar (mathematics) , symmetry (geometry) , tensor (intrinsic definition) , scalar potential , mathematical physics , physics , quantum mechanics , geometry

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.

QC 20140918

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