2007/01/08 by Luis Fernando Mello, Mello, Luis Fernando, Yuri Cândido Ribeiro +1
Mathematics · Physics and Astronomy · #34C60 #76M40 #76Y05 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DS #math.MP #msc:34C60 #msc:76M40 #msc:76Y05
paper · pdf · doi:10.48550/arxiv.math/0701224
13 pages and 4 figures
arxiv created 2007/01/08 · arxiv updated 2009/12/01
This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the first approach, the quantum flow is studied via a one-parameter family of complex potentials. In the second approach, the qualitative theory of planar differential equations is used to obtain a one-parameter family of Hamiltonian functions which determine the phase portraits of the systems.