Skip to main content

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 7))

  • 301 Accesses

Abstract

Let ψ(r) and ψ (r) be the field operators resulting by quantizing (second-quantization) the wave function (and its complex conjugate) corresponding to the Schrödinger equation. From now on we take ħ= 1, r,t = x, and we omit any external potential; we also omit for simplicity any spin indices. ψ (r,t) = exp(iHt)ψ(r)exp(-iHt) with an identical expression for ψ (r,t), where H is the total hamiltonian describing our system.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

References

  1. G. Baym: Lectures on Quantum Mechanics (W.A. Benjamin, New York 1969)

    MATH  Google Scholar 

  2. S.S. Schweber: An Introduction to Relativistic Quantum Field Theory (Harper and Row, New York 1961)

    Google Scholar 

  3. A.L. Fetter, J.D. Walecka: Quantum Theory of Many-Particle Systems (McGraw-Hill, New York 1971)

    Google Scholar 

  4. P.L. Taylor: Quantum Approach to the Solid State (Prentice Hall, Engle wood Cliffs, NJ 1970)

    Google Scholar 

  5. D.N. Zubarev: Double Time Green’s Functions in Statistical Physics, Uspekhi Fiz. Nauk 71, 71 (1960);

    MathSciNet  Google Scholar 

  6. D.N. Zubarev: English translation, Sov. Phys. Uspekhi 3, 320 (1960)

    Article  ADS  MathSciNet  Google Scholar 

  7. N.N. Bogoliubov, S.V. Tyablikov: Retarded and Advanced Green’s Functions in Statistical Physics, Dokl. Akad. Nauk SSSR 126, 53 (1959)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Economou, E.N. (1979). Definitions. In: Green’s Functions in Quantum Physics. Springer Series in Solid-State Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11900-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-11900-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11902-0

  • Online ISBN: 978-3-662-11900-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics