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On the Relation Between Time Representations and Inner Product Spaces

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Abstract

Stable states (particles), ghosts and unstable states (particles) come with different types of time representations in unitary groups—definite or indefinite. These representations are discussed with respect to the induced inner product spaces as extensions of Hilbert spaces. Unstable particles with their decay channels are treated as higher dimensional probability collectives.

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Authors and Affiliations

  1. Max-Planck-Institut für Physik and Astrophysik, Werner-Heisenberg-Institut für Physik, München, Germany

    Heinrich Saller

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  1. Heinrich Saller
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Saller, H. On the Relation Between Time Representations and Inner Product Spaces. International Journal of Theoretical Physics 42, 2191–2212 (2003). https://doi.org/10.1023/B:IJTP.0000005954.51726.b3

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  • DOI: https://doi.org/10.1023/B:IJTP.0000005954.51726.b3

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