General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains

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dc.creatorVarlamov, V. V.
dc.date2005-03-25
dc.date2007-05-10
dc.date.accessioned2026-07-07T10:30:23Z
dc.date.available2026-07-07T10:30:23Z
dc.descriptionA construction of relativistic wave equations on the homogeneous spaces of the Poincaré group is given for arbitrary spin chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied. It is shown that a direct product of Minkowski spacetime and two-dimensional complex sphere is the most suitable homogeneous space for the physical applications. The Lagrangian formalism and field equations on the Poincaré and Lorentz groups are considered. A boundary value problem for the relativistically invariant system is defined. General solutions of this problem are expressed via an expansion in hyperspherical functions defined on the complex two-sphere.
dc.description56 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math-ph/0503058
dc.identifierhttp://arxiv.org/abs/math-ph/0503058
dc.identifierInt.J.Theor.Phys.46:741-805,2007
dc.identifierdoi:10.1007/s10773-006-9077-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178117
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject22E43; 22E70; 33C70; 35Q40
dc.titleGeneral Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains
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