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Induced Nonlinear Time Evolution of Open Quantum Objects

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Sixty-Two Years of Uncertainty

Part of the book series: NATO ASI Series ((NSSB,volume 226))

Abstract

In the first part [42] I have emphasized the fact that there is a logically consistent formulation of quantum mechanics of individual systems which is compatible with all empirical data. A necessary and sufficient condition for the feasibility of such an individual interpretation is that the referents of the theory are objects. We recall that we distinguish between the concepts «system» and «object». By a system we mean nothing but the referent of a theoretical discussion (specified, for example, by a Hamiltonian), without any ontological commitment. An object is defined to be an open quantum system which is interacting with its environment but which is not Einstein-Podolsky-Rosen-correlated with the environment. Quantum systems which are not objects are entangled with their environments, they have no individuality and allow only an incomplete description in terms of statistical states. Since in quantum theories the set of all statistical states is not a simplex, statistical states have no unique decomposition into extremal states. This fact leads to grave problems for a purely statistical interpretation of quantum mechanics.

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Authors and Affiliations

  1. Laboratory of Physical Chemistry, ETH-Zentrum, CH-8092, Zürich, Switzerland

    Hans Primas

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  1. Hans Primas
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  1. Cambridge University, Cambridge, England

    Arthur I. Miller

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© 1990 Plenum Press, New York

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Primas, H. (1990). Induced Nonlinear Time Evolution of Open Quantum Objects. In: Miller, A.I. (eds) Sixty-Two Years of Uncertainty. NATO ASI Series, vol 226. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8771-8_15

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  • DOI: https://doi.org/10.1007/978-1-4684-8771-8_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8773-2

  • Online ISBN: 978-1-4684-8771-8

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