Infinite-component Equations Research Articles

Interpretation of space-like solutions of infinite-component wave equations and Grodsky-Streater 'No-Go' theorem

The existence of space-like solutions of infinite-component wave equations is not a 'disease' but a virtue. By comparing quantum electrodynamics with the infinite-component wave equations for bound electrons the authors show that the space-like solutions correspond to relativistic negative-energy solutions of the constituents of the composite system. Hence they have physical consequences in second-order processes such as the Compton effect and electromagnetic polarizabilities. Thus the assumption of the 'No-Go' theorem admitting only time-like solutions is too restrictive for a field theory with infinite-component equations.

Algebraic treatment of the Stark effect for hydrogen

The Stark effect for the hydrogen atom is treated in the context of the Majorana-type, infinite-component equation, proposed by Fronsdal. A convenient perturbative method is developed and the Stark effect calculated up to the second order for any level and up to the fourth order for the ground state. The perturbative method illustrated here may be of interest for dealing with other infinite-component equations, containing small terms, nonlinear in theSO 4,2 generators, which are not amenable to an exact treatment.

Finite- and infinite-component fields and equations generated from the dirac equation

A method is presented which allows us to regard classes of finite- and infinite-component wave equations from a unique point of view. The equations of a given class appear as different forms of one generalized equation. With the help of a well-defined automorphism the equations may be obtained from one another. In this way it is possible to generate a set of finite as well as infinite component equations from a given one. An example is given with the Dirac equation.