caa a22 4500 46319683X CHVBK 20180406164925.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10773-006-9077-4 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9077-4 Varlamov V. Department of Mathematics, Siberia State University of Industry, Kirova 42, 654007, Novokuznetsk, Russia aut General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains [Elektronische Daten] [V. Varlamov] A 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 space time 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. Springer Science+Business Media, Inc., 2007 relativistic wave equations nationallicence fields on the Poincaré group nationallicence harmonic analysis nationallicence boundary value problem nationallicence International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/4(2007-04-01), 741-805 0020-7748 46:4<741 2007 46 10773 https://doi.org/10.1007/s10773-006-9077-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9077-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Varlamov V. Department of Mathematics, Siberia State University of Industry, Kirova 42, 654007, Novokuznetsk, Russia aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/4(2007-04-01), 741-805 0020-7748 46:4<741 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 46319683X BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer