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arXiv · hep-th/0003112

Quantization of Point-Like Particles and Consistent Relativistic Quantum Mechanics

S. P. Gavrilov·D. M. Gitman
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Abstract

We revise the problem of the quantization of relativistic particle models (spinless and spinning), presenting a modified consistent canonical scheme. One of the main point of the modification is related to a principally new realization of the Hilbert space. It allows one not only to include arbitrary backgrounds in the consideration but to get in course of the quantization a consistent relativistic quantum mechanics, which reproduces literally the behavior of the one-particle sector of the corresponding quantum field. In particular, in a physical sector of the Hilbert space a complete positive spectrum of energies of relativistic particles and antiparticles is reproduced, and all state vectors have only positive norms.

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S. P. Gavrilov, D. M. Gitman. 2000-03-14. Quantization of Point-Like Particles and Consistent Relativistic Quantum Mechanics. https://doi.org/10.1142/s0217751x00002378

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