
By Nikolai Kopnin
This can be the 1st textual content at the glossy concept of superconductivity. It offers with the habit of superconductors in exterior fields various in time, and with delivery phenomena in superconductors. The textual content starts off with the basics of the first-principle, microscopic concept of superconductivity, and courses the reader throughout the sleek theoretical research to purposes of the idea to useful difficulties. The tools of quantum box concept utilized to nonstationary superconductivity of their so much complicated formulations, particularly the so-called semi-classical model of the real-time Green's functionality process utilized to the distinguished Bardeen, Cooper and Schrieffer version of superconductivity are defined. a substantial a part of the booklet is dedicated to vortex dynamics, facing the habit of superconductors once they hold electrical currents within the presence of a magnetic box.
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Com) © Copyright Oxford University Press, 2003-2010. All Rights Reserved 3 THE BCS MODEL Nikolai B. Kopnin 第1页 共5页 Abstract: This chapter applies the Green function formalism to the BCS theory of superconductivity — the Gor'kov equations are derived which make the basis for the further analysis. The Green functions are used to derive the expressions for such physical quantities as the superconducting order parameter, the electric current, the electron density, and the thermodynamic potential. The Bogoliubov–de Gennes equations are derived from the Gor'kov equations.
1965) to make the presentation self-consistent. We mostly follow the style of Abrikosov et al. (1965) in this chapter. The reader who is familiar with the general definition of the Green functions can proceed directly to the next chapter. From now on, we use the units where = 1. Consider first a system of N Bose particles which can occupy quantum states with , .... Here x is the set of general coordinates. , which show how many particles are in the states 1, 2, ... The wave function for the state with the occupation numbers N1, N2, ...
Electric field exists as long as varies in space. c. electric field decays into a superconductor; it is thus called the electric-field penetration length. 79). We discuss this in more detail later in Chapter 11. 2 Microscopic argumentation Let us discuss how one ran justify the TDGL model microscopically. The TDGL equation was first derived by Schmid (1966) and by Abrahams and Tsuneto (1966) using a Green function formalism. 57). Assume that ps = 0 and put 第1页 共6页 2010-8-8 10:50 Oxford Scholarship Online: Theory of Nonequilibrium Supe...