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quant-ph2025
New exact solutions of the 3D Schrödinger equation
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Previously we found a unique quantum system with a positive gauge-invariant Weyl-Stratonovich quasi-probability density function which can be defined by the so-called «quadratic f…
quant-ph2025
Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
On the basis of the first principle -- the law of probability conservation and the Helmholtz decomposition theorem the authors have succeeded to construct the Schrödinger, Pauli,…