{"product_id":"9780387741024","title":"Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron","description":"\u003ch1\u003eQuantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron\u003c\/h1\u003e \u003ch2\u003eFujita, Shigeji; Ito, Kei\u003c\/h2\u003e \u003cp\u003eThe measurements of the Hall coe?cient R and the Seebeck coe?cient H (thermopower) S are known to give the sign of the carrier charge q. Sodium (Na) forms a body-centered cubic (BCC) lattice, where both R and S are H negative, indicating that the carrier is the “electron. ” Silver (Ag) forms a face-centered cubic (FCC) lattice, where the Hall coe?cient R is negative H but the Seebeck coe?cient S is positive. This complication arises from the Fermi surface of the metal. The “electrons” and the “holes” play important roles in conducting matter physics. The “electron” (“hole”), which by de?- tion circulates counterclockwise (clockwise) around the magnetic ?eld (?ux) vector B cannot be discussed based on the prevailing equation of motion in the electron dynamics: dk\/dt = q(E +v×B), where k = k-vector, E = electric ?eld, and v = velocity. The energy-momentum relation is not incorporated in this equation. In this book we shall derive Newtonian equations of motion with a s- metric mass tensor. We diagonalize this tensor by introducing the principal masses and the principal axes of the inverse-mass tensor associated with the Fermi surface. Using these equations, we demonstrate that the “electrons” (“holes”) are generated, depending on the curvature sign of the Fermi s- face. The complicated Fermi surface of Ag can generate “electrons” and “holes,” and it is responsible for the observed negative Hall coe?cient R H and positive Seebeck coe?cient S.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2007-11-07\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780387741024\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-0-387-74103-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 244\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47667501727884,"sku":"9780387741024","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780387741024.jpg?v=1776455946","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780387741024","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}