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Quantum Hasimoto transformation and nonlinear waves on a superfluid vortex filament under the quantum local induction approximation
The Hasimoto transformation between the classical LIA (local induction approximation, a model approximating the motion of a thin vortex filament) and the nonlinear Schrödinger equation (NLS) has proven very useful in the past, since it allows one to construct new solutions to the LIA once a solution to the NLS …