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


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.


Field Operator Annihilation Operator External Potential Spin Index Heisenberg Picture 
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    S.S. Schweber: An Introduction to Relativistic Quantum Field Theory (Harper and Row, New York 1961)Google Scholar
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    A.L. Fetter, J.D. Walecka: Quantum Theory of Many-Particle Systems (McGraw-Hill, New York 1971)Google Scholar
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    P.L. Taylor: Quantum Approach to the Solid State (Prentice Hall, Engle wood Cliffs, NJ 1970)Google Scholar
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    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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