General Solutions of Relativistic Wave Equations

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dc.creatorVarlamov, V. V.
dc.date2002-09-19
dc.date.accessioned2026-07-07T04:29:25Z
dc.date.available2026-07-07T04:29:25Z
dc.descriptionGeneral solutions of relativistic wave equations are studied in terms of the functions on the Lorentz group. A close relationship between hyperspherical functions and matrix elements of irreducible representations of the Lorentz group is established. A generalization of the Gel'fand-Yaglom formalism for higher-spin equations is given. It is shown that a two-dimensional complex sphere is associated with the each point of Minkowski spacetime. The separation of variables in a general relativistically invariant system is obtained via the hyperspherical functions defined on the surface of the two-dimensional complex sphere. In virtue of this, the wave functions are represented in the form of series on the hyperspherical functions. Such a description allows to consider all the physical fields on an equal footing. General solutions of the Dirac and Weyl equations, and also the Maxwell equations in the Majorana-Oppenheimer form, are given in terms of the functions on the Lorentz group.
dc.description47 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math-ph/0209036
dc.identifierhttp://arxiv.org/abs/math-ph/0209036
dc.identifierInt.J.Theor.Phys. 42 (2003) 583-633
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57148
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectComputational Physics
dc.subjectQuantum Physics
dc.subject22E43, 35Q40, 22E70, 33C70
dc.titleGeneral Solutions of Relativistic Wave Equations
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