Skip to main content

Quantisation of the Electromagnetic Field

  • Chapter
Quantum Optics

Abstract

The study of the quantum features of light requires the quantisation of the electromagnetic field. In this chapter we quantise the field and introduce three possible sets of basis states, namely, the Fock or number states, the coherent states and the squeezed states. The properties of these states are discussed. The phase operator and the associated phase states are also introduced.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. E.A. Power: Introductory Quantum Electrodynamics (Longmans, London 1964)

    MATH  Google Scholar 

  2. R.J. Glauber: Phys. Rev. B 1, 2766 (1963)

    MathSciNet  Google Scholar 

  3. W.H. Louisell: Statistical Properties of Radiation (Wiley, New York 1973)

    Google Scholar 

  4. D.F. Walls: Nature 324, 210 (1986)

    Google Scholar 

  5. C.M. Caves: Phys. Rev. D 23, 1693 (1981)

    Google Scholar 

  6. H.P. Yuen: Phys. Rev. A 13, 2226 (1976)

    Article  ADS  Google Scholar 

  7. R. Loudon: Quantum Theory of Light (Oxford Univ. Press, Oxford 1973)

    Google Scholar 

  8. W. Schleich, J.A. Wheeler: Nature 326, 574 (1987)

    Article  ADS  Google Scholar 

  9. C.M. Caves, B.L. Schumaker: Phys. Rev. A 31, 3068 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  10. L. Susskind, J. Glogower: Physics 1, 49 (1964)

    Google Scholar 

  11. D.T. Pegg, S.M. Barnett: Phys. Rev. A 39, 1665 (1989)

    Article  ADS  Google Scholar 

  12. J.H. Shapiro, S.R. Shepard: Phys. Rev. A 43, 3795 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  13. M.J.W. Hall: Quantum Optics 3, 7 (1991)

    Article  ADS  Google Scholar 

Further Reading

  • Glauber, R.J.: In Quantum Optics and Electronics, ed. by C. de Witt, C. Blandin, C. Cohen Tannoudji Gordon and Breach, New York 1965)

    Google Scholar 

  • Klauder, J.R., Sudarshan, E.C.G.: Fundamentals of Quantum Optics (Benjamin, New York 1968)

    Google Scholar 

  • Loudon, R.: Quantum Theory of Light (Oxford Univ. Press, Oxford 1973)

    Google Scholar 

  • Louisell, W.H.: Quantum Statistical Properties of Radiation (Wiley, New York 1973)

    Google Scholar 

  • Meystre, P., M. Sargent, III: Elements of Quantum Optics, 2nd edn. (Springer, Berlin, Heidelberg 1991 )

    Google Scholar 

  • Nussenveig, H.M.: Introduction to Quantum Optics (Gordon and Breach, New York 1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Walls, D., Milburn, G.J. (2008). Quantisation of the Electromagnetic Field. In: Walls, D., Milburn, G.J. (eds) Quantum Optics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28574-8_2

Download citation

Publish with us

Policies and ethics