U. Ochs et M. Sorg, NONLINEAR GENERALIZATION OF THE RELATIVISTIC SCHRODINGER-EQUATIONS, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 51(9), 1996, pp. 965-982
The theory of the Relativistic Schrodinger Equations is further develo
pped and extended to non-linear field equations. The technical advanta
ge of the Relativistic Schrodinger approach is demonstrated explicitly
by solving the coupled Einstein-Klein-Gordon equations including a no
n-linear Higgs potential in case of a Robertson-Walker universe. The n
umerical results yield the effect of dynamical self-diagonalization of
the Hamiltonian which corresponds to a kind of quantum de-coherence b
eing enabled by the inflation of the universe.