Skip to main content

Correlations in Quantum Mechanics

  • Chapter
  • First Online:
  • 375 Accesses

The statistical algorithm of quantum mechanics predicts that measurements will reveal correlations among the values of magnitudes (“►observables”). Whenever such measurements have been performed, they have borne out the predictions. But the patterns exhibited by these correlations can be difficult to square with classical intuitions – about probability, about the nature and properties of quantum systems, and about causal connections between systems.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   279.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Primary Literature

  1. A. Aspect, J. Dalibard, G. Roger, Experimental test of Bell's Inequalities using time-varying analyzers, Physical Review Letters 49: 1804–7, 1982.

    Article  ADS  MathSciNet  Google Scholar 

  2. J.S. Bell, On the Einstein-Podolsky-Rosen paradox, Physics 1: 195–200, 1964.

    Article  MathSciNet  Google Scholar 

  3. A. Einstein, Quantentheorie und Wirklichkeit, Dialectica 2: 320–4, 1948.

    Article  Google Scholar 

  4. A. Fine, Joint distributions, quantum correlations, and commuting observables, Journal of Mathematical Physics 23: 1306–10, 1982.

    Article  ADS  MathSciNet  Google Scholar 

  5. R. Hanbury-Brown and R.Q. Twiss, Correlations between photons in two coherent beams of light, Nature 177: 27–9, 1956.

    Article  ADS  Google Scholar 

Secondary Literature

  1. J. Bub, Interpreting the Quantum World, Cambridge University Press, Cambridge 1997.

    MATH  Google Scholar 

  2. P. Grangier, G. Roger and A. Aspect, Experimental evidence for a photon anticorrelation effect on a beamsplitter, Europhysics Letters 1: 173–9, 1986.

    Article  ADS  Google Scholar 

  3. M. Hennrich, A. Kuhn, and G. Rempe, Transition from antibunching to bunching in cavity QED, Phys. Rev. Lett. 94: 53604-1–4, 2005.

    Article  ADS  Google Scholar 

  4. A.J. Leggett and A. Garg, Quantum mechanics versus macroscopic realism: Is the flux there when nobody looks?, Phys. Rev. Lett. 54: 857–60, 1985.

    Article  ADS  MathSciNet  Google Scholar 

  5. T. Maudlin, Quantum Non-locality and Relativity, Blackwell, Oxford 1994.

    Google Scholar 

  6. N.D. Mermin, Simple unified form for the major no-hidden-variables theorems, Phys. Rev. Lett. 65: 3373–7, 1990

    Article  ADS  MathSciNet  Google Scholar 

  7. N.D. Mermin, What is quantum mechanics trying to tell us?, American Journal of Physics 66: 753–67, 1998.

    Article  ADS  Google Scholar 

  8. A. Shimony, Bell's Theorem at http://plato.stanford.edu/entries/bell-theorem/.

  9. S.J. Summers and R.F. Werner, The vacuum violates Bell's inequalities, Phys. Lett. A 110: 257–9, 1985.

    Article  ADS  MathSciNet  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Healey, R. (2009). Correlations in Quantum Mechanics. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-70626-7_38

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70622-9

  • Online ISBN: 978-3-540-70626-7

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics