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physics.class-ph2014
The classical Maxwell-Lorentz electrodynamics aspects of the electron inertia problem within the Feynman proper time paradigm
Anatolij K. Prykarpatsky, Nikolai N. Bogolubov
The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. T…
nlin.SI2014
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach
Jan L. Cieśliński, Anatolij K. Prykarpatski
We investigate discretizations of the integrable discrete nonlinear Schrödinger dynamical system and related symplectic structures. We develop an effective scheme of invariant redu…