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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Simulation of Quantum Control Systems. Part II. Mathematical Aspects of the Problem

Volume 30, Issue 2-3, 1998, pp. 104-110
DOI: 10.1615/JAutomatInfScien.v30.i2-3.130
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ABSTRACT

An algebraic approach to the study of quantum control systems is presented. This approach is based on models of bilinear dynamics defined on orbits of the adjoint representation in compact Lie algebras. The verification of the finiteness of dimension is based on the averaging method, which is used in the passage to the description of the process in "real" time scale. The Hamiltonian character of the controlled motion on an orbit is proved, and an invariant measure is constructed.

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