首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Orthogonality theorem for a one-dimensional-electron gas with a bounded spectrum
Authors:V G Marikhin
Institution:(1) L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 142432 Chernogolovka, Moscow Region, Russia
Abstract:The overlap between the ground-state wave functions of a one-dimensional electron gas with the Hamiltonians Ĥ 0 and 
$$\hat H_0 $$
, where 
$$\hat H_0  + \hat V$$
is the impurity potential, is calculated. It is shown that in the limit of an infinite potential the overlap vanishes as M −1/8 as M→∞, where M is the number of filled levels, while in the case of a weak potential this overlap differs little from 1. A relation is found between the magnitude of the overlap and the behavior of the density of states near the Fermi energy (statistics of the levels). The possibility of linearization of the spectrum and the possibility of performing a bosonization procedure are discussed in light of the results obtained. Pis'ma Zh. éksp. Teor. Fiz. 64, No. 1, 57–60 (10 July 1996)
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号