Non-linear generalization of the relativistic Schrödinger equations.

Details Non-linear generalization of the relativistic Schrödinger equations. Non-linear generalization of the relativistic Schrödinger equations.

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996znata..51..965o&link_type=abstract

Z. Naturforsch., A, Vol. 51A, No. 9, p. 965 - 982

Physics

1

Universe: Models

Scientific paper

The theory of the relativistic Schrödinger equations is further developped and extended to non-linear field equations. The technical advantage of the relativistic Schroedinger approach is demonstrated explicitly by solving the coupled Einstein-Klein-Gordon equations including a non-linear Higgs potential in case of a Robertson-Walker universe. The numerical results yield the effect of dynamical self-diagonalization of the Hamiltonian which corresponds to a kind of quantum de-coherence being enabled by the inflation of the universe.

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