The system of two damped/amplied oscillator equations is of widespread interest in the study of many physical problems and phenomena, from in ationary models of the Universe to thermal eld theories, in condensed matter physics as well in high energy physics, and also in neuroscience. In this report we review the equivalence, in a suitable parametrization, between such a system of equations and the Bessel equations. In this connection, we discuss the breakdown of loop-antiloop symmetry, its relation with time-reversal symmetry and the mechanism of group contraction. Euclidean algebras such as e(2) and e(3) are also discussed in relation with Virasoro-like algebra.

Time-reversal and the Bessel equation

ALFINITO, ELEONORA;
2015-01-01

Abstract

The system of two damped/amplied oscillator equations is of widespread interest in the study of many physical problems and phenomena, from in ationary models of the Universe to thermal eld theories, in condensed matter physics as well in high energy physics, and also in neuroscience. In this report we review the equivalence, in a suitable parametrization, between such a system of equations and the Bessel equations. In this connection, we discuss the breakdown of loop-antiloop symmetry, its relation with time-reversal symmetry and the mechanism of group contraction. Euclidean algebras such as e(2) and e(3) are also discussed in relation with Virasoro-like algebra.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/395071
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