Nonlinear Schrödinger Equation for Superconductors

Details Nonlinear Schrödinger Equation for Superconductors Nonlinear Schrödinger Equation for Superconductors

1994-01-02

arxiv.org/abs/cond-mat/9312099v1

Physics

Condensed Matter

Latex, 12 pages

Scientific paper

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.

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