A weak nonlinear magnetic entrance edge triggers Dzhanibekov instability in the pseudospin dynamics of twisted electrons, producing recurrent conversions between Laguerre-Gaussian vortex and Hermite-Gaussian beam profiles.
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The transverse envelope of accelerating twisted Dirac states in nonuniform axial B and E fields obeys a Caldirola-Kanai Schrödinger equation whose solution is obtained by Ermakov mapping to a scaling function b(z) satisfying a generalized Pinney equation.
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Tennis-racket instability of twisted electrons
A weak nonlinear magnetic entrance edge triggers Dzhanibekov instability in the pseudospin dynamics of twisted electrons, producing recurrent conversions between Laguerre-Gaussian vortex and Hermite-Gaussian beam profiles.
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Effective Caldirola-Kanai Model for Accelerating Twisted Dirac States in Nonuniform Axial Fields
The transverse envelope of accelerating twisted Dirac states in nonuniform axial B and E fields obeys a Caldirola-Kanai Schrödinger equation whose solution is obtained by Ermakov mapping to a scaling function b(z) satisfying a generalized Pinney equation.