Ideas and techniques known in quantum electrodynamics have been applied to the Bardeen-Cooper-Schrieffer theory of superconductivity. In an approximation which corresponds to a generalization of the Hartree-Fock fields, one can write down an integral equation defining the self-energy of an electron in an electron gas with phonon and Coulomb interaction. The form of the equation implies the existence of a particular solution which does not follow from perturbation theory, and which leads to the energy gap equation and the quasi-particle picture analogous to Bogolyubov's.
Yoichiro NambuRelated topics
approximation coulomb defining electron energy equation existence follow form gap gas generalization integral interaction known particular perturbation picture quantum solution theory write electrodynamics fields phonon self-energy superconductivityRelated quotes
We must, with God's help, eradicate the deadly poison of the demon of anger from the depths of our souls. So long as he dwells in our hearts and blinds the eyes of the heart with his somber disorders, we can neither discriminate what is for our good, nor achieve spiritual knowledge, nor fulfill our good intentions, nor participate in true life; and our intellect will remain impervious to the contemplation of the true, divine light; for it is written, 'Man's anger does not bring about the righteousness of God' (Jms. 1:20).
John Cassian
It is a fearful thing to hate whom God hath loved. To look upon another-his weaknesses, his sins, his faults, his defects is to look upon one who is suffering. He is suffering from negative passions, from the same sinful human corruption from which you yourself suffer. This is very important: do not look upon him with judgmental eyes of comparison, noting the sins you assume you'd never commit. Rather, see him as a fellow sufferer, a fellow human being who is in need of the very healing of which you are in need. Help him, love him, pray for him do unto him as you would have him do unto you.
Tikhon of Zadonsk
These issues are very complex and are best left to a full treatment of the principle of rectification. In the absence of such a treatment applied to a particular society, one cannot use the analysis and theory presented here to condemn any particular scheme of transfer payments, unless it is clear that no considerations of rectification of injustice could apply to justify it. Although to introduce socialism as the punishment for our sins would be to go too far, past injustices might seem to be so great as to make necessary in the short run a more extensive state in order to rectify them.
Robert Nozick
Keynes did not challenge the efficacy of price adjustment mechanisms in clearing particular markets in the Marshallian partial equilibrium theory on which he had been reared. He did challenge the mindless application of those mechanisms to economy-wide markets. Founding what came to be known as macroeconomics, he was modeling a whole economy as a closed system. He knew he could not use the Marshallian assumption that the clearing of one market could be safely described on the assumption that the rest of the economy was unaffected.
James Tobin
The world's energy consumption is bound to vastly increase over the next two or three decades. Estimates by the U. S. Department of Energy anticipate that world demand will rise by more than 50 percent between 1993 and 2015, with the most significant increase in consumption occurring in the Far East. The momentum of Asia's economic development is already generating massive pressures for the exploration and exploitation of new sources of energy and the Central Asian region and the Caspian Sea basin are known to contain reserves of natural gas and oil that dwarf those of Kuwait, the Gulf of Mexico, or the North Sea.
Zbigniew Brzezinski
