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Nonlinear Schrödinger Equation for Superconductors

Ping Ao·David J. Thouless·X. -M. Zhu
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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 Schrödinger 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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Ping Ao, David J. Thouless, X. -M. Zhu. 1994-01-02. Nonlinear Schrödinger Equation for Superconductors. https://doi.org/10.1142/s021798499500070x

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