The positivity of the energy in relativistic quantum mechanics implies that wave functions can
be continued analytically to the forward tube T in complex spacetime. For Klein-Gordon …

Yo=(A2+ y2) 1! 2l, 1.> 0, and S is any space-or-lightlike submanifold of space-time R n+'.
The CT'S have natural symplectic structures covariant with respect to the Poincare group …

We construct a family of equivalent representations U λ (λ≳ 0) of the restricted Poincaré
group 𝒫↑+ for a massive scalar particle on spaces 𝒦λ of functions defined over''phase …

Non-relativistic quantum mechanics is formulated here in a different way. It is, however,
mathematically equivalent to the familiar formulation. In quantum mechanics the probability …

We examine the relationship between the mathematical structures of classical mechanics,
quantum mechanics, and special relativity, with a view toward building a consistent …

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 …

We show that it is possible to use the Klein-Gordon, Proca and Maxwell formulations to
construct multi-component relativistic configuration space wavefunctions of spin-0 and spin …

It is shown that the new interpretation of the scalar product in Hilbert space recently
proposed by Aharanov, Albert, and Au is in fact the one underlying the stochastic phase …

We propose to attempt, in this note and others to follow, an approach to the program
advocated by W~ EL~ R in his (~ Frontiers of Time,) and other papers (1). We shall begin by …

The problem of obtaining a quantum description of the (real) KleinGordon system in a given
curved space-time is discussed. An algebraic approach is used. The*-algebra of quantum …