3 papers
math-ph2025
Exact solutions for the relativistic dynamics of a self-consistent system with electromagnetic and gravitational interaction within the Wigner-Vlasov formalism
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitation…
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,…