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

Physics – Condensed Matter

Scientific paper

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25 pages, written in RevTeX, submitted to Physical Review B

Scientific paper

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.

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