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

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.

Keywords

Field Operator Annihilation Operator External Potential Spin Index Heisenberg Picture 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 8.1
    G. Baym: Lectures on Quantum Mechanics (W.A. Benjamin, New York 1969)zbMATHGoogle Scholar
  2. 8.2
    S.S. Schweber: An Introduction to Relativistic Quantum Field Theory (Harper and Row, New York 1961)Google Scholar
  3. 8.3
    A.L. Fetter, J.D. Walecka: Quantum Theory of Many-Particle Systems (McGraw-Hill, New York 1971)Google Scholar
  4. 8.4
    P.L. Taylor: Quantum Approach to the Solid State (Prentice Hall, Engle wood Cliffs, NJ 1970)Google Scholar
  5. 8.5
    D.N. Zubarev: Double Time Green’s Functions in Statistical Physics, Uspekhi Fiz. Nauk 71, 71 (1960);MathSciNetGoogle Scholar
  6. 8.5
    D.N. Zubarev: English translation, Sov. Phys. Uspekhi 3, 320 (1960)ADSCrossRefMathSciNetGoogle Scholar
  7. 8.6
    N.N. Bogoliubov, S.V. Tyablikov: Retarded and Advanced Green’s Functions in Statistical Physics, Dokl. Akad. Nauk SSSR 126, 53 (1959)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of VirginiaCharlottesvilleUSA

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