Second-order mixtures in relativistic Schrödinger theory

Details Second-order mixtures in relativistic Schrödinger theory Second-order mixtures in relativistic Schrödinger theory

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jmp....40...71m&link_type=abstract

Journal of Mathematical Physics, Volume 40, Issue 1, pp. 71-92 (1999).

Mathematics

Mathematical Physics

5

Scientific paper

In relativistic Schrödinger theory the mixtures and pure states can be treated from a unified point of view such that a pure state merely emerges as a special case of a mixture. Here the concept of mixture is of purely local nature and therefore the mixture character (degree of order) can change over space and time. Although the general dynamics does not forbid the transitions from mixtures to pure states (and vice versa), the considered models do admit these transitions only in an asymptotic sense. The general concepts and results are demonstrated by considering the four-component Dirac theory for spinning matter over the Robertson-Walker universes. A detailed study is made for a specific subclass of second-order mixtures sharing many of their properties with the pure states (i.e., wave functions).

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