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 …

A relativistic one-particle, quantum theory for spin-zero particles is constructed upon L 2 (x,
ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger …

It is shown that a recently derived relativistic Schrödinger equation for free particles of
arbitrary spin can be consistently quantized in the case of half-integer spins (but not for …

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 …

Relativistic wave equations in the Schrödinger form i∂ ψ∂ t= H ψ for particles of nonzero
mass and arbitrary spin are investigated. The wave function ψ is taken to transform …

The two-wave space-time description of a massive spin-0 particle in the external
electromagnetic field is developed. In the nonrelativistic limit the spacelike counterpart of the …

Guided by a diagonalized form of the classical field-energy we construct a time-dependent
canonical pair of Schrödinger fields Φ t (x) and Π t (x) which diagonalizes the field …

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 …

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Motivated by the difficulties which persist in the construction of a consistent description of
interacting relativistic particles with spin greater than 1, we examine the analogous problem …