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
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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