Classical trajectories and quantum field theory
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876484118346203136 |
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| author | Giuseppe Vitiello |
| author_facet | Giuseppe Vitiello |
| contents | Classical trajectories and quantum field theory Giuseppe Vitiello Física, Astronomía y Matemáticas The density matrix and the Wigner function formalism requires the doubling of the degrees of freedom inquantum mechanics (QM) and quantum field theory (QFT). The doubled degrees of freedom play the role ofthe thermal bath or environment degrees of freedom and are entangled with the system degrees of freedom.They also account for quantum noise in the fluctuating random forces in the systemenvironment coupling.The algebraic structure of QFT turns out to be the one of the deformed Hopf algebra. In such a frame, thetrajectories in the space of the unitarily inequivalent representations of the canonical commutation relations turnout to be classical trajectories and, under convenient conditions, they may exhibit properties typical of classicalchaotic trajectories in nonlinear dynamics. The quantum Brownian motion and the two-slit experiment in QMare discussed in connection with the doubling of the degrees of freedom. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435221 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| format | Artículo científico |
| id | redalyc_46435221 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Classical trajectories and quantum field theory Giuseppe Vitiello Física, Astronomía y Matemáticas Classical trajectories and quantum field theory Giuseppe Vitiello Física, Astronomía y Matemáticas The density matrix and the Wigner function formalism requires the doubling of the degrees of freedom inquantum mechanics (QM) and quantum field theory (QFT). The doubled degrees of freedom play the role ofthe thermal bath or environment degrees of freedom and are entangled with the system degrees of freedom.They also account for quantum noise in the fluctuating random forces in the systemenvironment coupling.The algebraic structure of QFT turns out to be the one of the deformed Hopf algebra. In such a frame, thetrajectories in the space of the unitarily inequivalent representations of the canonical commutation relations turnout to be classical trajectories and, under convenient conditions, they may exhibit properties typical of classicalchaotic trajectories in nonlinear dynamics. The quantum Brownian motion and the two-slit experiment in QMare discussed in connection with the doubling of the degrees of freedom. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435221 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| title | Classical trajectories and quantum field theory |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435221 |