Absence Diffusion Random Lattices by Anderson (4 results)

(26,5 x 29,5 cm). SS. 1021-2241. Mit Abbildungen. Halbleinwandband der Zeit. Erste Ausgabe. - Anderson beschreibt hier erstmals ein quantenmechanisches Modell zur Vorhersage von Transportprozessen in Festkörpern. Falls die Konzentration von Störstellen eine bestimmte Schwelle überschreitet wird die Unterdrückung der Diffusion in ungeordneten Umgebungen als starke Lokalisierung oder Anderson-Lokalisierung bezeichnet. - Anderson (1923-2020), Professor für Physik in Cambridge und Princton, erhält für seine "grundlegenden theoretischen Leistungen zur Elektronenstruktur in magnetischen und ungeordneten Systemen", zusammen mit Nevill F. Mott und John H. Van Vleck 1977 den Nobelpreis für Physik. - Stempel auf Vorsatz. Einband leicht berieben, sonst gut erhalten.

Wrappers. Condition: Very Good. First Edition. First Edition. [1407]-1862 pages. Small 4to. Original publisher's blue/green printed wraps. Entire number offered. A clean copy noting minor browning to the extremities, bumped upper corner, spotting to the textblock edges and light browning to the spine panel. Bright and clean internally. Contains 'Absence of Diffusion in Certain Random Lattices' IN The Physical Review, Vol 109, Second Series, Number 5, March 1, 1958, pages 1492-1505. Wrappers. 'This paper presents a simple model for such process as spin diffusion or conduction in the impurity band. These processes involve transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites. In this simple model the essential randomness is introducted by requiring the energy to vary randomly from site to site. It is shown that at low enough densities no diffusion at all can take place, and the criteria for transport to occur are given.' (abstract) 'One of the more subtle electronic features of real materials is the distinction between continuum electronic states and conducting electronic states. The fact that continuum electronic states in band tails might be localized was recognized by P. W. Anderson [Phys. Rev. 109, 1492 (1958)] in a paper that appeared just about the time superconductivity was being explained.' (The Physical Review, The First Hundred Years, a Selection of Seminal Papers and Commentaries, p. 621) Also contains articles by Sudarshan and Marshak about Fermi interaction as well as Lee, Yang and others. The Nobel Prize in Physics 1977 was awarded jointly to Philip Warren Anderson, Sir Nevill Francis Mott and John Hasbrouck van Vleck "for their fundamental theoretical investigations of the electronic structure of magnetic and disordered systems".

Condition: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Sept. 15 (sale item)* 456 pp., softcover, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Photos available upon request.

Lancaster and New York, American Institute of Physics, 1958. Lex8vo. Volume 109, March 1, No. 5, 1958 of "The Physical Review", Second Series. In the original printed blue wrappers. Slight traces of wear to spine. Previous owner's stamp to front wrapper (C. Møller). Internally fine and clean. Pp. 1492-1505. [Entire issue: Pp. 1407-1862]. First edition of Anderson's seminal paper, in which he laid the foundation for a quantum-mechanical theory of transport in systems with a certain generic type of disorder involving onsite energy randomness. This is also known as the Anderson localization. On the basis of the discovery presented in the present article which led to investigations into the electronic structure of magnetic and disordered systems, Anderson was awarded the Nobel Prize in Physics in 1977. The discovery has allowed for the development of electronic switching and memory devices in computers."Disorder-induced electron localization, i.e. Anderson localization, was first predicted by Andersonin 1958 [in the present paper]. In his pioneering paper, the continuity or discontinuity of the energy spectrum of electrons on a diagonally disordered system is related to their localization property." (Nakayama, Fractal concepts in condensed matter physics, 2003, p. 117)"Anderson's model ushered in a new quantum mechanical view of metal-insulator transitions. And in the early 1960s, Nevill Mott introduced the notion of a mobility edge that separates extended and localized states. The idea of a mobility edge would develop into one of the most studied concepts of condensed-matter physics. For their work on disordered systems, Anderson, his thesis adviser John van Vleck, and Mott shared the 1977 Nobel Prize in Physics.Ironically, Anderson's 1958 paper hardly got noticed at first" it was cited just 30 times in the first 10 years. Today, it's been cited over 4000 times, though too often as an "unrecognizable monster" as described by its creator in 1983. Indeed, theoreticians have found a variety of ways to look at localization - from scale-dependent diffusion and fractal wavefunctions to quantum chaos, dense-point spectra, and kicked rotors." (Fifty years of Anderson localization Physics Today, August 2009).