Quantization of Point-Like Particles and Consistent Relativistic Quantum Mechanics

Details Quantization of Point-Like Particles and Consistent Relativistic Quantum Mechanics Quantization of Point-Like Particles and Consistent Relativistic Quantum Mechanics

2000-03-14

arxiv.org/abs/hep-th/0003112v1

Int.J.Mod.Phys. A15 (2000) 4499-4538

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, LaTex file

Scientific paper

10.1142/S0217751X00002376

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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