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A new perturbative expansion of the time evolution operator associated with a quantum system

Paolo Aniello

quant-pharXiv:quant-ph/0508017

Abstract

A novel expansion of the evolution operator associated with a -- in general, time-dependent -- perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to computational convenience or to satisfy specific requirements. As a remarkable example, the quantum Hamiltonian describing a laser-driven trapped ion is studied in detail.

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