3 papers
quant-ph2026
Kinematic properties of the Pauli equation
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Based on the Wigner-Vlasov formalism, this paper investigates the kinematic properties of the Pauli equation. It is shown that the probability current associated with the Pauli equ…
math-ph2026
The Maxwell class exact solutions to the Schrödinger equation and continuum mechanics models
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
By applying the nonlinear Legendre transform to the continuity equation, this paper derives exact solutions to the Schrödinger equation and the equations of continuum mechanics. A…
math-ph2025
Characteristic solutions of the chain of Vlasov equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
A new method has been presented of constructing a class of exact solutions of an infinite self-linking chain of the Vlasov equations for distribution functions of kinematic quantit…