 95129 Vladimir V. Kisil, CINVESTAV del IPN (Mexico) and
 Relativistic Quantization and Improved Equation
for a Free Relativistic Particle
(51K, LaTeX2e)
Feb 27, 95

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Abstract. Usually the only difference between relativistic quantization and
standard one is that the Lagrangian of the system under consideration
should be Lorentz invariant.
The standard approaches are logically incomplete and produce
solutions with unpleasant properties: negativeenergy, superluminal
propagation etc.
We propose a twoprojections scheme of (special) relativistic
quantization. The first projection defines the quantization procedure
(e.g. the BerezinToeplitz quantization). The second
projection defines a casual structure of the relativistic system
(e.g. the operator of multiplication by the characteristic
function of the future cone).
The twoprojections quantization introduces in a natural way the
existence of three types of relativistic particles
(with $0$, $\frac{1}{2}$, and $1$ spins).
Keywords: Quantization, relativity, spin, Dirac equation,
KleinGordon equation, electron, SegalBargmann space,
BerezinToeplitz quantization.
AMSMSC Primary: 81P10, 83A05; Secondary: 81R30, 81S99, 81V45
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95129.tex