2 papers
quant-ph2024
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, D…
math-ph2023
Investigation of the dynamics of transverse oscillations of a vertical rod under gravity, friction, and thermal expansion
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
The paper considers the mathematical formulation of the problem of transverse oscillations of a vertical rod under gravity, friction and external pulse effect, leading to thermal e…