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Open Quantum Systems Decoherence Quantum Simulation

Generalized Dirac bracket and the role of the Poincaré symmetry in the program of canonical quantization of fields 1

arXiv
Authors: Marcin Kaźmierczak

Year

2010

Paper ID

10665

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

An elementary presentation of the methods for the canonical quantization of constraint systems with Fermi variables is given. The emphasis is on the subtleties of the construction of an appropriate classical bracket that could be consistently replaced by commutators or anti--commutators of operators, as required by canonical quantization procedure for bosonic and fermionic degrees of freedom respectively. I present a consequent canonical quantization of the Dirac field, in which the role of Poincaré invariance is made marginal. This simple example provides an introduction to the Poincaré--free quantization of spinor electrodynamics in the second part of the paper.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • An elementary presentation of the methods for the canonical quantization of constraint systems with Fermi variables is given.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.5797 [2] arXiv https://arxiv.org/abs/1010.5797 [3] Publisher https://arxiv.org/abs/1010.5797

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