2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27261A 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 BCondensed MatterQuantum Physicstext