Interactions of Collective Excitations with Vortices in Superfluid Systems

Abstract

We investigate the interactions of collective excitations with vortices in superfluid systems, including ${}^4$He and superconductors. The dynamical equations are obtained by the aid of the many-body wavefunction and the density-density correlation function. The scattering cross-section of collective excitations with a vortex is calculated in the Born approximation (valid at long wavelengths), and is expressed in terms of the collective excitation spectrum $\omega (q)$ by the simple and general formula $\sigma =\frac{\pi }{2}\frac{q}{[{\omega }^{\prime }(q){]}^2}{\cot }^2\frac{\theta }{2}$, where $q$ is the wave number of the excitation, and $\theta$ is the scattering angle. At short wave lengths, the classical equations of motion are derived.

18 pages, Latex

References in corpus (1)

• From Feynman's Wave Function to the Effective Theory of Vortex Dynamics

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