In relativity space-time is described by charts associating to each event four numbers (x 1, x
2, x 3, x 4)≡(x, t) referring to a position and a time. These charts are related to each other by …

A canonical formalism for the relativistic classical mechanics of many particles is proposed.
The evolution equations for a charged particle in an electromagnetic field are obtained and …

The relativistic quantum mechanics with Lorentz-invariant evolution parameter and indefinite
mass is a very elegant theory. But it cannot be derived by quantizing the usual classical …

A single-particle quantum formalism is constructed for spin-zero particles based upon state
functions and operators defined on a four-dimensional space-time manifold. This yields a …

X HE author of the foregoing article believes that the true content of the special theory of
relativity has not been completely analyzed up to the present and his article contains an …

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According to both Dirac's and Kemmer's relativistic quantum theories, the eigenvalues of the
velocity operator are+ c and− c. This false result is avoided if certain alternative particle …

Relativistic quantum mechanics with the invariant evolution parameter or historical time τ is
reconsidered. The theory is obtained by quantizing the classical theory in which mass is not …

From the invariance properties of the Schrödinger equation and the isotropy of space we
show that a generic (non-relativistic) quantum system is endowed with an “external” motion …

It is shown that the standard actions of relativistic point-like particles are adapted within the
corresponding interpretation to describe particle and antiparticle at the same time. The …