From a mathematical standpoint, special relativity is the physics of Lorentz transformation,
and quantum mechanics is the physics of Fourier transformation. I It is easy to see, if not well …

As laid down by Dirac in his great classic [1], the principle of superposition of states is the
fundamental concept on which the quantum theory of atomic systems is to be erected …

We interpret the irreducible representations of the Weyl group (the group of inhomogeneous
Lorentz transformations and dilatations in Minkowski space-time) as virtual (" off-mass …

It is shown that Dirac's''instant form''dynamics provides a theoretical framework in which
models of relativistic quantum mechanics can be constructed. The convariant harmonic …

Based on Lorentz invariance and Born reciprocity invariance, the canonical quantization of
special relativity is shown to provide a unified origin for (i) the complex vector space …

A rank‐two tensor is built out of the 4‐velocities of two inertial observers, which corresponds
precisely to the most general Lorentz matrix connecting the two Cartesian frames of the …

A mathematical framework that unifies the standard formalisms of special relativity and
quantum mechanics is proposed. For this a Hilbert space H of functions of four variables x, t …

It is the purpose of the present paper to develop a form of the theory of relativity whIch shall
contain the theory of quanta, as embodIed III Schrodlllger'sl wave mechanics, not merely as …

A covariant form for the classical Poisson bracket formulation for the motion of a charged
particle in an electromagnetic field is introduced by using proper time instead of real time …

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 …