TY - JOUR

T1 - Selective control of the observables in the ensemble of quantum mechanical molecular systems

AU - Anan'evskii, M. S.

PY - 2007/8

Y1 - 2007/8

N2 - A new approach to synthesize algorithms for selective control of the observables in quantum mechanical systems in the presence of additional constraints during the whole period of control is proposed. Analytic results of achieving the goal of control under some additional assumptions were obtained. It was demonstrated that the error in achieving the goal of control is proportionate to the error in prescribing the initial state of system and the error in realizing the control action. Numerical results for the problem of selective control for energy of hydrogen molecules (H2) with different isotopes are represented. The proposed algorithms are easy to design.

AB - A new approach to synthesize algorithms for selective control of the observables in quantum mechanical systems in the presence of additional constraints during the whole period of control is proposed. Analytic results of achieving the goal of control under some additional assumptions were obtained. It was demonstrated that the error in achieving the goal of control is proportionate to the error in prescribing the initial state of system and the error in realizing the control action. Numerical results for the problem of selective control for energy of hydrogen molecules (H2) with different isotopes are represented. The proposed algorithms are easy to design.

UR - http://www.scopus.com/inward/record.url?scp=34548421611&partnerID=8YFLogxK

U2 - 10.1134/S0005117907080048

DO - 10.1134/S0005117907080048

M3 - Article

AN - SCOPUS:34548421611

VL - 68

SP - 1322

EP - 1332

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 8

ER -