Nonlinear Schr\"odinger Equation for Superconductors
Condensed Matter
2015-06-25 v1
Abstract
Using the Hartree-Fock-Bogoliubov factorization of the density matrix and the Born-Oppenheimer approximation we show that the motion of the condensate satisfies a nonlinear Schr\"odinger equation in the zero temperature limit. The Galilean invariance of the equation is explicitly manifested. {}From this equation some general properties of a superconductor, such as Josephson effects, the Magnus force, and the Bogoliubov-Anderson mode can be obtained readily.
Cite
@article{arxiv.cond-mat/9312099,
title = {Nonlinear Schr\"odinger Equation for Superconductors},
author = {Ping Ao and David J. Thouless and X. -M. Zhu},
journal= {arXiv preprint arXiv:cond-mat/9312099},
year = {2015}
}
Comments
Latex, 12 pages