Eigenstates of the Vorticity Operator: The Creation and Annihilation of Vortex States in Two Dimensions

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A quantum mechanical description of vortices in two dimensional superfluid $^4$He flims is presented. Single vortex creation and annihilation operators are defined and wavefunctions for these states are explicitly constructed. A hamitonian for these states is then proposed.
25 pages, written in RevTeX, submitted to Physical Review B

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