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Non-Commutative Probability

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1538)

Abstract

These notes are a revised version of notes in French published in successive volumes (XX to XXII) of the Séminaire de Probabilités, and we will not offer again a slow introduction to this topic, with detailed justifications of the basic definitions. Non-commutative probability is the kind of probability that goes with the non-commutative world of quantum physics, and as such it is a natural domain of interest to the mathematician. We are eager to get to the heart of the subject as soon as possible. The reader that thinks we are too quick may be referred to the original French version, or (better) to the book of Parthasarathy [Parl].

Keywords

  • Spectral Measure
  • Unitary Group
  • Classical Probability
  • Selfadjoint Operator
  • Real Element

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1993 Springer-Verlag Berlin Heidelberg

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Meyer, PA. (1993). Non-Commutative Probability. In: Quantum Probability for Probabilists. Lecture Notes in Mathematics, vol 1538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21558-6_1

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  • DOI: https://doi.org/10.1007/978-3-662-21558-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56476-8

  • Online ISBN: 978-3-662-21558-6

  • eBook Packages: Springer Book Archive