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Spin

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

Abstract

This chapter has little to do with the geometric property of elementary particles called spin. Historically spin 1/2 provided the first basic example of a “two-level quantum system”, so that till now those simplest of all quantum systems are introduced to students of physics with the help of “fictitious spins”. The truth is, that two-level systems (or spins) play in quantum probability the role of Bernoulli random variables. As in the classical case, they may be considered the cornerstone of probability theory.

Keywords

  • Tensor Product
  • Annihilation Operator
  • Clifford Algebra
  • Selfadjoint Operator
  • Bernoulli Random Variable

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). Spin. In: Quantum Probability for Probabilists. Lecture Notes in Mathematics, vol 1538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21558-6_2

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  • DOI: https://doi.org/10.1007/978-3-662-21558-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56476-8

  • Online ISBN: 978-3-662-21558-6

  • eBook Packages: Springer Book Archive