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A comment on relativistic Hamiltonian equations for any spin

✍ Scribed by David L Weaver

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
126 KB
Volume
95
Category
Article
ISSN
0003-4916

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✦ Synopsis

The Guertin generalization of Dirac theory for a free particle with half-integer spin is shown to be a unitary transformation of the Weaver-Hammer-Good description by explictly deriving the unitary connections for spin-$ between the two descriptions and the Foldy-Wouthuysen representation. Thus, the Guertin description exchanges simplicity of Lorentz transformation properties for some simplification in the form of physical operators. Some other spin-4 representations, unitarily equivalent to those above, are also noted.

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il field of spill s ( ~& 1 / 2 ) massive particles can be described in an arbitrarily ciirved space-time by a system of first order equations introduced by H. A. BUCHDAHL [S] and V. WCNSCR [13]. I n this paper we generalize this system by minimal coupling of an electromagnetic field. The arising fir