Abstract
The time-dependent Schrödinger equation for a fermion two-dimensional super-fluid containing a moving vortex is solved using the adiabatic approximation. The expectation value of the linear momentum of the vortex is found dominated by core fermion excitations. The resulting inertial vortex mass, obtained in the adiabatic limit, is larger than the standard core mass by a factor of (kFξ,)2 where ξ, is the coherence length at T = 0. Anamalous velocity dependence of the mass, associated with the breakdown of the adiabatic approximation, is predicted.
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Šimánek, E. Reactive effects of core fermion excitations on the inertial mass of a vortex. J Low Temp Phys 100, 1–19 (1995). https://doi.org/10.1007/BF00753834
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DOI: https://doi.org/10.1007/BF00753834