Lectures on QM for mathematicians conjecture that quantum transitions and duality emerge from attractors in nonlinear Hamiltonian PDEs, supported by model cases since 1990 but open for Maxwell-Schrödinger, plus Kirchhoff-approximation calculations for diffraction and Aharonov-Bohm shift.
Helffer, Effet d’Aharonov–Bohm sur un ´ etat born´ e de l’E quation de Schr¨ odinger,Comm
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Lectures on Quantum Mechanics for mathematicians
Lectures on QM for mathematicians conjecture that quantum transitions and duality emerge from attractors in nonlinear Hamiltonian PDEs, supported by model cases since 1990 but open for Maxwell-Schrödinger, plus Kirchhoff-approximation calculations for diffraction and Aharonov-Bohm shift.