Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-19T17:24:49.766Z Has data issue: false hasContentIssue false

17 - Measurements I

Published online by Cambridge University Press:  10 December 2009

Robert B. Griffiths
Affiliation:
Carnegie Mellon University, Pennsylvania
Get access

Summary

Introduction

I place a tape measure with one end on the floor next to a table, read the height of the table from the tape, and record the result in a notebook. What are the essential features of this measurement process? The key point is the establishment of a correlation between a physical property (the height) of a measured system (the table) and a suitable record (in the notebook), which is itself a physical property of some other system. It will be convenient in what follows to think of this record as part of the measuring apparatus, which consists of everything essential to the measuring process apart from the measured system. Human beings are not essential to the measuring process. The height of a table could be measured by a robot. In the modern laboratory, measurements are often carried out by automated equipment, and the results stored in a computer memory or on magnetic tape, etc. While scientific progress requires that human beings pay attention to the resulting data, this may occur a long time after the measurements are completed.

In this and the next chapter we consider measurements as physical processes in which a property of some quantum system, which we shall usually think of as some sort of “particle”, becomes correlated with the outcome of the measurement, itself a property of another quantum system, the “apparatus”. Both the measured system and the apparatus which carries out the measurement are to be thought of as parts of a single closed quantum mechanical system. This makes it possible to apply the principles of quantum theory developed in earlier chapters.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2001

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 coreplatform@cambridge.org 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.

  • Measurements I
  • Robert B. Griffiths, Carnegie Mellon University, Pennsylvania
  • Book: Consistent Quantum Theory
  • Online publication: 10 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511606052.018
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.

  • Measurements I
  • Robert B. Griffiths, Carnegie Mellon University, Pennsylvania
  • Book: Consistent Quantum Theory
  • Online publication: 10 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511606052.018
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.

  • Measurements I
  • Robert B. Griffiths, Carnegie Mellon University, Pennsylvania
  • Book: Consistent Quantum Theory
  • Online publication: 10 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511606052.018
Available formats
×