Published December 2011 | Version v1
Journal article Metadata-only

Nonlocality of Foldy-Wouthuysen and related transformations for the Dirac equation

Creators

  • 1. Orange Customer Service sp. z o. o., ul. Twarda 18, PL-00-105 Warsaw (Poland)
  • 2. Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, PL-02-688 Warsaw (Poland)

Description

Nonlocalities of Foldy-Wouthuysen and related transformations, which are used to separate positive- and negative-energy states in the Dirac equation, are investigated. Second moments of functional kernels generated by the transformations are calculated, and the transformed functions and their variances are computed. It is shown that all the transformed quantities are smeared in the coordinate space by an amount comparable to the Compton wavelength λc=(ℎ/2π)/mc.

Additional details

Identifiers

DOI
10.1103/PhysRevA.84.062124;
arXiv
arXiv:1108.4143v1;

Publishing Information

Journal Title
Physical Review. A
Journal Volume
84
Journal Issue
6
Journal Page Range
p. 062124-062124.7
ISSN
1050-2947
CODEN
PLRAAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44053698
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPTON WAVELENGTH; COORDINATES; DIRAC EQUATION; ENERGY LEVELS; FOLDY-WOUTHUYSEN TRANSFORM; KERNELS; LOCALITY; QUANTUM STATES
Descriptors DEC
CANONICAL TRANSFORMATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; TRANSFORMATIONS; WAVE EQUATIONS

Optional Information

Notes
(c) 2011 American Institute of Physics