Abstract
The purpose of the present article is to emphasize the usefulness of the ideas of E. R. Huggins in thinking about vortex motion and phase slip in superfluid4He, and is primarily pedagogical. Several explicit illustrations of vortex motion and phase-slip processes are considered. In addition, it is shown that Huggins's results lead to a generalization and a more complete understanding of the familiar expression E+vs · p for the energy in the rest system of an excitation in the flowing superfluid, as applied to vortex excitations. Here, E is the energy and p is the momentum of the excitation in the moving system, and vs is the superfluid velocity.
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References
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In a classical fluid, a local force acting parallel to the core at the core would produce vorticity encircling the core in addition to the longitudinal vorticity already present in the core.1 In a core of finite radius, the net effect might be the expansion and twisting of the vorticity in the core. In the superfluid component of4He, such a process seems to be ruled out, unless the force is intense enough to create vortex rings encircling the original core.
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This case was suggested to the author by K. W. Schwarz.
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