Skip to content
Register Sign in Wishlist

Wigner-Type Theorems for Hilbert Grassmannians

£40.00

Part of London Mathematical Society Lecture Note Series

  • Author: Mark Pankov, Uniwersytet Warmińsko-Mazurski, Poland
  • Date Published: January 2020
  • availability: In stock
  • format: Paperback
  • isbn: 9781108790918

£ 40.00
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Wigner's theorem is a fundamental part of the mathematical formulation of quantum mechanics. The theorem characterizes unitary and anti-unitary operators as symmetries of quantum mechanical systems, and is a key result when relating preserver problems to quantum mechanics. At the heart of this book is a geometric approach to Wigner-type theorems, unifying both classical and more recent results. Readers are initiated in a wide range of topics from geometric transformations of Grassmannians to lattices of closed subspaces, before moving on to a discussion of applications. An introduction to all the key aspects of the basic theory is included as are plenty of examples, making this book a useful resource for beginning graduate students and non-experts, as well as a helpful reference for specialist researchers.

    • Contains a brief description of all necessary facts from the basic theory, making the book accessible for graduate students and non-expert researchers
    • Describes connections between different branches of mathematics, including incidence geometry, graph theory and quantum mechanics
    • Creates a unified approach by applying geometric methods to preserver problems in quantum mechanics
    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 2020
    • format: Paperback
    • isbn: 9781108790918
    • length: 152 pages
    • dimensions: 228 x 153 x 10 mm
    • weight: 0.24kg
    • availability: In stock
  • Table of Contents

    Introduction
    1. Two lattices
    2. Geometric transformations of Grassmannians
    3. Lattices of closed subspaces
    4. Wigner's theorem and its generalizations
    5. Compatibility relation
    6. Applications
    References
    Index.

  • Author

    Mark Pankov, Uniwersytet Warmińsko-Mazurski, Poland
    Mark Pankov is Professor of Mathematics at Uniwersytet Warmińsko-Mazurski, Poland. His research interests include preserver problems in operator theory related to quantum mechanics, geometry of linear codes, and zig-zags in discrete objects. He is the author of Grassmannians of Classical Buildings (2010) and Geometry of Semilinear Embeddings: Relations to Graphs and Codes (2015).

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

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.

Cancel

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.
×