Skip to content
Register Sign in Wishlist

Noncommutative Mathematics for Quantum Systems


Part of Cambridge IISc Series

  • Date Published: January 2016
  • availability: In stock
  • format: Hardback
  • isbn: 9781107148055

£ 95.00

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea of 'making theory noncommutative' has been extended to many areas of pure and applied mathematics. This book is divided into two parts. The first part provides an introduction to quantum probability, focusing on the notion of independence in quantum probability and on the theory of quantum stochastic processes with independent and stationary increments. The second part provides an introduction to quantum dynamical systems, discussing analogies with fundamental problems studied in classical dynamics. The desire to build an extension of the classical theory provides new, original ways to understand well-known 'commutative' results. On the other hand the richness of the quantum mathematical world presents completely novel phenomena, never encountered in the classical setting. This book will be useful to students and researchers in noncommutative probability, mathematical physics and operator algebras.

    • Provides an introduction to quantum probability
    • Presents an introduction to quantum dynamical systems
    • Discusses analogies with fundamental problems studied in classical dynamics
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: January 2016
    • format: Hardback
    • isbn: 9781107148055
    • length: 125 pages
    • dimensions: 235 x 158 x 15 mm
    • weight: 0.4kg
    • availability: In stock
  • Table of Contents

    1. Independence and Lévy processes in quantum probability
    2. Quantum dynamical systems from the point of view of noncommutative mathematics

  • Authors

    Uwe Franz, Université de Franche-Comté
    Uwe Franz has been Professor at the University of Franche-Comté, Besançon, France, since 2005. He completed his PhD at Université Henri Poincaré-Nancy, France, in 1997. He was a Senior Fellow at the Alfried Krupp Wissenschaftskolleg Greifswald in 2014. He has authored one book, entitled Stochastic Processes and Operator Calculus on Quantum Groups (1999), edited four books on quantum probability, and written over fifty peer-reviewed research papers in the area of noncommutative mathematics. His areas of interest include noncommutative probability, quantum stochastic processes, quantum stochastic calculus and probability on quantum groups.

    Adam Skalski, University of Warsaw, Poland
    Adam Skalski is an Associate Professor at the Mathematical Institute, Polish Academy of Sciences, University of Warsaw, Poland. He completed his PhD in Mathematics at the University of Nottingham in 2006. He has published a number of articles in the area of noncommutative mathematics. He has been awarded the Kuratowski Prize of the Polish Mathematical Society in 2008 and the Sierpiński Prize of the Polish Academy of Sciences in 2014. His areas of interest include topological quantum groups, noncommutative measure theory and quantum stochastic processes.

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.