Physics – Mathematical Physics
Scientific paper
2002-09-19
Int.J.Theor.Phys. 42 (2003) 583-633
Physics
Mathematical Physics
47 pages, LaTeX2e
Scientific paper
General 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.
No associations
LandOfFree
General Solutions of Relativistic Wave Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with General Solutions of Relativistic Wave Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General Solutions of Relativistic Wave Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-538018