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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…
On the three types of relativistic equations for particles with nonzero mass
Wilhelm I. Fushchych
In previous papers quant-ph/0206077, quant-ph/0206078, quant-ph/0206079 we have shown that there exist three types of the relativistic equations for the massless particles. Here we…
On two-component equations for zero mass particles
Wilhelm I. Fushchych, A. L. Grishchenko
The paper presents a detailed theoretical-group analysis of three types of two-component equations of motion which describe the particle with zero mass and spin 1/2. There are stud…