State automorphisms in axiomatic quantum mechanics |
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Authors: | S Gudder |
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Institution: | (1) Department of Mathematics, University of Denver, 80210 Denver, Colorado |
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Abstract: | A new metric which we call the intrinsic metric is introduced on the states of the generalized logic of quantum mechanics. It is shown that every automorphism on is an isometry. A norm can be defined on the linear spanE of which reduces to the intrinsic metric on. IfX is the completion ofE then every automorphism, on has a unique extension to a linear isometry onX. A comparison is made between these results and those of Kroniff. |
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