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Green’s Functions in Quantum Physics978-3-662-02369-3Series ISSN 0171-1873 Series E-ISSN 2197-4179

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Virtualization / Virtualisierung,In this chapter, the time-independent Green’s functions are defined, their main properties are presented, methods for their calculation are briefly discussed, and their use in problems of physical interest is summarized.

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https://doi.org/10.1007/978-1-4615-5041-9The Green’s functions corresponding to linear partial differential equations of first and second order in time are defined; their main properties and uses are presented.

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https://doi.org/10.1007/978-4-431-67026-1The general theory developed in Chap.1 can be applied directly to the time-independent one-particle Schrödinger equation by making the substitutions .(.) → .(.), λ → E, where .(.) is the Hamiltonian. The formalism presented in Chap.2 is applicable to the time-dependent one-particle Schrödinger equation.

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https://doi.org/10.1007/978-3-319-28127-8There are two basic approaches to the approximate calculation of Green’s functions. One is based upon the differential equation obeyed by g. In the other a perturbation expansion is employed where g is expressed as a series, the terms of which involve the unperturbed g. and the interaction potential v(. − .’).

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Calculational Methods for gThere are two basic approaches to the approximate calculation of Green’s functions. One is based upon the differential equation obeyed by g. In the other a perturbation expansion is employed where g is expressed as a series, the terms of which involve the unperturbed g. and the interaction potential v(. − .’).

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Fully Differential Operational Amplifiers,e the conductivity. The poles of an appropriate analytic continuation of G in the complex E-plane can be interpreted as the energy (the real part of the pole) and the inverse life time (the imaginary part of the pole) of quasi-particles. The latter are entities which allow us to map an interacting system to a noninteracting one.