Relativistic Quantization and Improved Equation for a Free Relativistic Particle

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dc.creatorKisil, Vladimir V.
dc.date1995-02-25
dc.date.accessioned2026-07-07T09:17:42Z
dc.date.available2026-07-07T09:17:42Z
dc.descriptionUsually 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: negative-energy, superluminal propagation etc. We propose a two-projections scheme of (special) relativistic quantization. The first projection defines the quantization procedure (e.g. the Berezin-Toeplitz 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 two-projections 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, Klein-Gordon equation, electron, Segal-Bargmann space, Berezin-Toeplitz quantization. AMSMSC Primary: 81P10, 83A05; Secondary: 81R30, 81S99, 81V45
dc.description22 p., LaTeX2e, a hard copy or uuencoded DVI-file by e-mail may be obtained from the Author
dc.identifierhttps://arxiv.org/abs/quant-ph/9502022
dc.identifierhttp://arxiv.org/abs/quant-ph/9502022
dc.identifierPhys.Essays 11 (1998) 69-80
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153765
dc.subjectQuantum Physics
dc.subjectFunctional Analysis
dc.subjectHigh Energy Physics - Theory
dc.titleRelativistic Quantization and Improved Equation for a Free Relativistic Particle
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