Skip to main content

Introduction

Part of the Lecture Notes in Mathematics book series (LNM,volume 1839)

Abstract

This work belongs to a field called quantum probability or noncommutative probability. The first name emphasizes the origins in quantum theory and the attempts to achieve a conceptual understanding of the new probabilistic features of this theory as well as the applications to physics which such a clarification can offer in return. The second name, which should be read as not necessarily commutative probability, puts the subject into the broader program of noncommutative mathematics and emphasizes the development of mathematical structures. The field has grown large and we do not intend to give a survey here but refer to the books [Da76, Me91, Pa92, Bi95, Ho01, QPC03] for different ways of approaching it. Probability theory in the usual sense appears as a part which is referred to as classical or commutative.

Keywords

  • Markov Process
  • Operator Algebra
  • Spatial Theory
  • Classical Probability
  • Asymptotic Completeness

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rolf Gohm .

Rights and permissions

Reprints and Permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Gohm, R. (2004). Introduction. In: Noncommutative Stationary Processes. Lecture Notes in Mathematics, vol 1839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39902-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39902-5_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20926-3

  • Online ISBN: 978-3-540-39902-5

  • eBook Packages: Springer Book Archive