A Class of Isolated Non-time Reversal Invariant Quantum Systems

Lúcio Souza Fassarella

Published Jan 1, 2012• 0 citations

Abstract

A quantum system is a quantum system which is both isolated and non-time reversal invariant. This article presents precise definitions for those concepts and also a characterization of quantum systems within the class of completely posi- tive Markovian quantum systems in finite dimension (through a homogeneous linear equation for the non- Hamiltonian part of the system's Liouvillian). To set the framework, the basic features of quantum mechan- ics are reviewed focusing on time evolution and also on the theory of completely positive Markovian quantum systems, including Kossakowski-Lindblad's standard form for Liouvillians. After those general considera- tions, a simple two-dimensional example is presented and then applied to describe the neutrino oscillation, with the introduction of a new dispersive parameter.

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