Simple derivation of Schrödinger equation from Newtonian dynamics Michele Marrocco Dipartimento di Fisica, Università di Roma ‘La Sapienza’ P.le Aldo Moro 5, I-00185 Rome, Italy & ENEA (Italian National Agency for New Technologies, Energies and Sustainable Economic Development) via Anguillarese 301, I-00123 Rome, Italy


Negative kinetic energies can either be nonsense or convey a profound truth about the physical reality (e.g., antimatter in relativistic QED). In quantum mechanics, they are associated with some relevant manifestations (weak measurements, quantum backflow, Glauber quantum oscillator, etc.) and have been recently discovered in optics (optical backflow). Here, building on the analogy between optical waves and wave propagation of Hamilton-Jacobi (HJ) wave fronts, new effects caused by the Hamilton’s principal function  … read more

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