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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Diffraction by triangular apertures encodes both magnitude and sign of orbital angular momentum in twisted electron and ion beams, while circular apertures depend only on magnitude.
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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.
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Diffraction by Circular and Triangular Apertures as a Diagnostic Tool of Twisted Matter Waves
Diffraction by triangular apertures encodes both magnitude and sign of orbital angular momentum in twisted electron and ion beams, while circular apertures depend only on magnitude.