On the Classification of Decoherence Functionals (1996)
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author = {Oliver Rudolph},
title = {On the Classification of Decoherence Functionals},
year = {1996}
}
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Abstract:
The basic ingredients of the consistent histories approach to quantum mechanics are the space of histories and the space of decoherence functionals. In this work we extend the classification theorem for decoherence functionals proven by Isham, Linden and Schreckenberg to the case where the space of histories is the lattice of projection operators on an arbitrary separable or non-separable complex Hilbert space of dimension greater than one. Internet: rudolph@x4u2.desy.de 1 Introduction The consistent histories approach to quantum mechanics has attracted much interest in the last years. The consistent histories approach has enriched and deepened our understanding of nonrelativistic quantum mechanics and in particular of the interpretation of standard Hilbert space quantum mechanics. There is also hope that the consistent histories approach may be a guide towards the construction of history theories generalizing standard Hilbert space quantum mechanics. This hope is supported by the o...
Citations
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