1 citations · 1 across the 14 of their papers we have counts for
14 papers
Continuity Equation in Nonlinear Quantum Mechanics and the Galilei Relativity Principle
Wilhelm I. Fushchych, Vyacheslav M. Boyko
Classes of the nonlinear Schrodinger-type equations compatible with the Galilei relativity principle are described. Solutions of these equations satisfy the continuity equation.
Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields
Wilhelm I. Fushchych, Ivan M. Tsyfra, Vyacheslav M. Boyko
We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions . A nonlinear complex equation of Euler…
Poincare-invariant equations with a rising mass spectrum
Wilhelm I. Fushchych
In this note we shall construct, in the framework of relativistic quantum mechanics, the Poincare-invariant motion equations with realistic mass spectra. These equations describe a…
On a motion equation for two particles in relativistic quantum mechanics
Wilhelm I. Fushchych
The purpose of the present note is to propose, in the framework of relativistic quantum mechanics, a new Poincare-invariant equation for two particles with masses m_1, m_2 and spin…
On the additional invariance of the Dirac and Maxwell equations
Wilhelm I. Fushchych
In this note we show that there exists a new set of operators {Q} (this set is different from the operators which satisfy the Lie algebra of the Poincare group P(1,3) with respect…
P, T, C properties of the Poincare invariant equations for massive particles
Wilhelm I. Fushchych
We have shown quant-ph/0206104 (Lett. Nuovo Cimento, 1972, 4, 344) that for free particles and antiparticles with mass m>0 and arbitrary spin s>0, in the framework of the Poincare…