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Deterministic evolutions and Schrödinger flows

1995; Volume: 68; Linguagem: Inglês

0018-0238

Claude Alain Faure, David Jeffrey Moore, C. Piron,

Quantum chaos and dynamical systems

Deterministic evolutions are defined without ad hoc hypotheses but in the context of the axiomatic approach due to Aerts and Piron. For systems described by a family of Hilbert spaces one can prove necessary conditions on the resulting flow using the tools of projective geometry. In particular we show that a deterministic evolution is always given by a family of partially defined unitary operators