Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-07-05T16:28:27.324Z Has data issue: false hasContentIssue false

1 - Two Lattices

Published online by Cambridge University Press:  06 January 2020

Mark Pankov
Mark Pankov
Affiliation:
Uniwersytet Warmińsko-Mazurski, Poland
Get access

Summary

This is a brief description of basic properties of the lattice formed by all subspaces of a vector space and the orthomodular lattice consisting of all closed subspaces of a complex Hilbert space. The first lattice is investigated in classical projective geometry, the second is related to the logical structure of quantum mechanical systems.

Keywords

Hilbert spacelattice of subspacesorthomodular latticeprojectionpure and mixed statesquantum logic
Type
Chapter
Information
Wigner-Type Theorems for Hilbert Grassmannians , pp. 4 - 21
Publisher: Cambridge University Press
Print publication year: 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Two Lattices
  • Mark Pankov
  • Book: Wigner-Type Theorems for Hilbert Grassmannians
  • Online publication: 06 January 2020
  • Chapter DOI: https://doi.org/10.1017/9781108800327.003
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Two Lattices
  • Mark Pankov
  • Book: Wigner-Type Theorems for Hilbert Grassmannians
  • Online publication: 06 January 2020
  • Chapter DOI: https://doi.org/10.1017/9781108800327.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Two Lattices
  • Mark Pankov
  • Book: Wigner-Type Theorems for Hilbert Grassmannians
  • Online publication: 06 January 2020
  • Chapter DOI: https://doi.org/10.1017/9781108800327.003
Available formats
×