Titlebook: Many-Particle Physics; Gerald D. Mahan Book 2000Latest edition Springer Science+Business Media New York 2000 Boson.Particle Physics.Potent

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,Green’s Functions at Zero Temperature,ugh they are often at low temperature. Many quantities are not very sensitive to temperature, particularly at low temperature. Zero temperature calculations are useful even for describing real systems. Furthermore, the zero temperature property of a system is an important conceptual quantity—the gro

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Nonzero Temperatures,should be done at nonzero temperatures too. It is often unnecessary if the temperature is small compared to other energies in the problem. But often temperature is important, and here it will be incorporated into Green’s functions. The nonzero temperature formalism was originated by Matsubara (1955)

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Homogeneous Electron Gas,ds were applied to a variety of problems, some areas of work were more successful than others. The two areas which enjoyed early success were the homogeneous electron gas and the polaron problem. Later there were other successes such as the theories of superconductivity and superfluidity. However, t

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Strong Correlations,d be calculated simply and accurately. The present chapter discusses other metallic systems in which correlation plays a much larger role in the dynamics of the electron. These topics come under the title of .. Strong correlation causes itinerant magnetism.

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,Electron—Phonon Interaction,derived in Chapter 1, with the form of the interaction given in Sec. 1.3.5. The LO phonons are usually represented by an Einstein model, i.e., the phonon frequency ω. = ω. is taken to be a constant. Since there is a single electron, the Hamiltonian may also be written as .where . and . are the conju

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Optical Properties of Solids,ron system does not absorb light at all, so that its optical properties are uninteresting. The ability of the nearly free-particle system to absorb light is due to its imperfections or deviations from homogeneity. If these effects are small, then so is the light absorption. This situation is describ

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Superfluids,e. Each has unusual properties and displays collective behavior of a unique character. The boson liquid .He shows a phase transition at .. = 2.172 K to a superfluid state which is similar to Bose—Einstein condensation, although vastly modified by the strong interparticle interactions Similarly, the