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Representation of the Dirac equation and the variational principle
Author(s) -
Karwowski J.,
Pestka G.,
Stanke M.,
Harris F. E.
Publication year - 2006
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.21053
Subject(s) - dirac equation , spinor , representation (politics) , dirac algebra , dirac spinor , two body dirac equations , dirac (video compression format) , mathematical physics , space (punctuation) , dirac sea , physics , causal fermion system , quantum mechanics , mathematics , dirac fermion , computer science , fermion , neutrino , politics , political science , law , operating system
The performance of the variational method applied to the Dirac equation depends on the selected representation of this equation in four‐dimensional spinor space. This dependence is analyzed. It is pointed out that the representations of Weyl and of Biedenharn have several attractive features. The usefulness of the so‐called kinetically balanced Dirac equation is also briefly discussed. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006

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