By D. J. Thouless (auth.), Professor Yosuke Nagaoka Ph.D., Professor Hidetoshi Fukuyama Ph.D. (eds.)
This quantity comprises the complaints of the Fourth Taniguchi foreign Symposium at the thought of Condensed subject, which used to be held at Senkari Semi nar residence of Kwansei Gakuin Universi~y in Sanda-shi, Japan, throughout the interval of 3-8 November 1981. the subject of the symposium was once "Anderson rocalization," the most primary difficulties in condensed-matter physics. on the grounds that Anderson's vintage paper was once released in 1958, a lot theoretical and experimental attempt has been played to review the matter of electron localization in a random capability. particularly lately, Abrahams, Anderson, Licciardello, and Ramakrishnan proposed a scaling concept of the Anderson lo calization which made it attainable to accomplish microscopic investigations. swift growth has and we're now getting a coherent photo of the habit of electrons in disordered platforms. once we equipped the symposium, we requested Dr. Anderson to take part in it and to offer a assessment speak on theoretical elements of the matter. although he kindly authorised our invitation, he couldn't come as a result of a surprising sickness. A assessment speak used to be given through Professor Thouless who kindly approved our request to take where of Dr. Anderson. thankfully, Dr. Anderson has on account that re lined from his illness.
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12) o(w) = ~ . 2 The most inportant diagrams for Upp ' 47 This is because ,~ ,(q,w) is equal to ¢(q,w) when there is the p,p pp time reversal symmetry and has a diffusion pole for small q and w. VOLLHARDT and WOLFLE used this symmetry; they substituted the expression of ¢(q,w) for ~(q,w) and obtained a self-consistent equation for MI (O,w). However the diffusion pole of ~(q,w) is suppressed in the systems without the time reversal symmetry, and ~(q,w) becomes different from ¢(q,w). Therefore it is necessary for us to obtain an expression for ~(q,w).