Title | SEMICLASSICAL ASYMPTOTIC APPROACH TO OPTIMAL CONTROL OF A QUANTUM DYNAMICS |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | MEDHIN, NG |
Volume | 19 |
Issue | 2 |
Start Page | 257 |
Pagination | 18 |
Date Published | 2015 |
ISSN | 1083-2564 |
AMS | 34K25, 49J20 |
Abstract | An approach to the analysis of a control problem of a model quantum mechanical system under the influence of an electric field is studied via asymptotic method. The quantum mechanical system presented deals with a linear tri-atomic molecule. The purpose of this effort is to gain insight into the problem of designing an appropriate pulse to break a specific bond while leaving the other minimally disturbed. The asymptotic analysis of the model provides an opportunity to analyze and gain some insight into the interplay between the constituent parameters of the field and duration of the pulse as well the energy required to achieve the desired objective, and the mathematical difficulty inherent in the problem. The asymptotic method is used in constructing an appropriate multiobjective control problem to stretch/break the stronger bond while minimally disturbing the weaker bond with minimum energy. |
URL | http://www.acadsol.eu/en/articles/19/2/8.pdf |
Refereed Designation | Refereed |
Full Text | REFERENCES |