Evaluating the validity of parametrized relativistic wave equations |
| |
Authors: | John R Fanchi |
| |
Institution: | 1. 6598 S. Cook Way, 80121, Littleton, Colorado
|
| |
Abstract: | We wish to determine the correct partial differential equation(s) for describing a relativistic particle. A physical foundation is presented for using a parametrized wave equation with the general form $$i\frac{{\partial \psi }}{{\partial s}} = K\psi$$ where s is the invariant evolution parameter. Several forms have been proposed for the generator K of evolution parameter translations. Of the proposed generators, only the generator K 2 which is proportional to the inner product P μ P μ of fourmomentum operators can be derived from first principles, notably a probabilistic basis. Although experimental tests must be made to establish the validity of K 2,we conclude that K 2 is the leading theoretical candidate for the form of a generator of evolution parameter translations. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|