Open AccessThe general proof of certain fundamental equations in the theory of metallic conduction
Author(s) -
H. F. Jones,
Clarence Zener
Publication year - 1934
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1934.0036
Subject(s) - thermal conduction , lattice (music) , electron , physics , mathematical physics , condensed matter physics , mathematics , quantum mechanics , acoustics
In the modern theory of electronic conduction the electrons are considered, when the thermal motion of the lattice is neglected, as moving in a periodic potential with the property V (x +la ,y +ma ,z +na ) = V (x, y, z ). The wave equation for an electron in this field is {h 2/8π2m ∇2 + EK - V} ψK = 0. Block has shown that this equation has solutions of the form ψK =e i K.RUK (R), where UK has the periodicity of the lattice.