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Relativistic Matrix Wave Equations with a Singular Free Term

✍ Scribed by Dr. P. N. Malinov

Publisher: John Wiley and Sons
Year: 1988
Tongue: English
Weight: 185 KB
Volume: 500
Category: Article
ISSN: 0003-3804
DOI: 10.1002/andp.19885000211

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✦ Synopsis

It is shown, that the problem of existing of a relativistic covariant matrix equation of the first order with a free termsingular matrix, is transformed into a problem of determination of one of the matrices, if the representation of the Lorentz group T , by which the field y is transformed, is given.

The generalized Dirac equations are investigated with respect to covariance to the restricted Lorentz group ICL(2, C) or @+ This problem is well studied, when L is a nonsingular or zero matrix [l, 21, but is not extended for the case with a singular L [3, 4, 51.

If external fields are present, L is a matrix function of the coordinates [6, 71. I n the static case [7], the equation ( 1) is obtained. L can be a singular nonzero matrix in some

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