Motion of vortex lines in quantum mechanics

Preprint

3 November 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9911007

Abstract

Exact analytic solutions of the time dependent Schrodinger equation are produced that exhibit a variety of vortex structures. The qualitative analysis of the motion of vortex lines is presented and various types of vortex behavior are identified. Vortex creation and annihilation and vortex interactions are illustrated in the special cases of the free motion, the motion in the harmonic potential, and in the constant magnetic field. Similar analysis of the vortex motions is carried out also for a relativistic wave equation.

Keywords

ANALYTIC SOLUTIONS
MOTION OF VORTEX
MECHANICS EXACT
MAGNETIC FIELD
EXACT ANALYTIC
WAVE EQUATION
VORTEX LINES
SCHRODINGER

All Related Versions

Version 1, 1999-11-03, ArXiv
Published version: Physical Review A, 61 (3), 032110.

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