Titlebook: Many-Body Theory of Solids; An Introduction John C. Inkson Book 1984 Plenum Press, New York 1984 electron.field theory.fields.many-body the

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,Many-Body Green’s Functions, is required then, are expectation values of operators, transitions between states, time development in particular circumstances, etc. In the sense of the previous chapter, it is the group of quasiparticles and their properties that will be of prime importance, since these relate to the excited states of the system.

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The Normal System,cle solid-state physics that interaction effects do not affect the basic properties of the system. Even the simple Thomas-Fermi theory (Sec. 1.6) gave us an indication of how that might be due to the locking up of the interaction into an inert binding energy, resulting from the coulomb correlation hole.

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Interacting Systems and Quasiparticles, in terms that approximate the ideal single-particle system. Suppose we derived a set of single-particle states, then a useful criterion as to how good they were would be how long the electron was able to remain in that state.

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,Green’s Functions of the Single-Particle Schrödinger Equation,the simple function. It is worthwhile, therefore, to review our theory of Green’s functions within the framework of the Schrödinger equation and perturbation theory. In this way we can introduce more of the concepts that appear in the full theory of interacting systems within a well-understood framework.

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Quantization of Waves (Second Quantization),rations from then on. In this chapter we will look at the particle nature of waves and begin the development of a unified approach to fields and particles suitable for most applications but especially to condensed matter, where many of the interesting effects concern oscillatory phenomena.

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,Thermal Effects on the Green’s Function,tical mechanics is based upon the same framework as classical statistical mechanics. For this reason we will not try to develop a detailed theory here but simply cover the ground sufficiently to derive the required properties.

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Superconductivity,l ones. In mathematical terms the perturbation series we have considered for the self energies have converged rapidly. This need not always be the case and is, in fact, highly dependent upon the way that the initial system is chosen and how the perturbation series is constructed.