Relativistic wave equations with fractional derivatives and pseudodifferential operators
2002 ◽
Vol 2
(4)
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pp. 163-197
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Keyword(s):
We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator(□1/n). The equations corresponding ton=1and2(Klein-Gordon and Dirac equations) are local in their nature, but the multicomponent equations for arbitraryn>2are nonlocal. We show the representation of the generalized algebra of Pauli and Dirac matrices and how these matrices are related to the algebra ofSU (n)group. The corresponding representations of the Poincaré group and further symmetry transformations on the obtained equations are discussed. The construction of the related Green functions is suggested.
2018 ◽
Vol 3
(1)
◽
pp. 03-09
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2014 ◽
Vol 29
(15)
◽
pp. 1450080
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2018 ◽
Vol 224
◽
pp. 98-107
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Keyword(s):
Keyword(s):
1948 ◽
Vol 34
(5)
◽
pp. 211-223
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Keyword(s):
1973 ◽
Vol 50
(3)
◽
pp. 1006-1027
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1997 ◽
Vol 30
(11)
◽
pp. 4005-4017
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