ar X iv : h ep - t h / 06 10 09 4 v 1 9 O ct 2 00 6 Links . Relating different physical systems through the common QFT algebraic structure

نویسنده

  • Giuseppe Vitiello
چکیده

In this report I review some aspects of the algebraic structure of QFT related with the doubling of the degrees of freedom of the system under study. I show how such a doubling is related to the characterizing feature of QFT consisting in the existence of infinitely many unitarily inequivalent representations of the canonical (anti-)commutation relations and how this is described by the q-deformed Hopf algebra. I consider several examples, such as the damped harmonic oscillator, the quantum Brownian motion, thermal field theories, squeezed states, classical-toquantum relation, and show the analogies, or links, among them arising from the common algebraic structure of the q-deformed Hopf algebra.

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تاریخ انتشار 2006