Exact controllability for the population of the eigenstates in bilinear quantum systems;Contrôlabilité exacte de la population des états propres dans les systèmes quantiques bilinéaires

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 4, 2000, Pages 327-332

  Turinici, Gabriel ^a  

^a Laboratoire ASCI   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034651340     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(00)00152-x     Document Type: Article

References (14)

1. Ball J.M., Madersen J.E., Slemrod M., Controllability for distributed bilinear systems, SIAM J. Control and Optim. 20 (4) (1982) 575-597.
2. Le Bris C., Control theory applied to quantum chemistry: Some tracks, ESAIM PROC (to appear)
3. Brumer P., Shapiro M., Coherence chemistry: Controlling chemical reactions with lasers, Acc. Chem. Res. 22 (12) (1989) 407-413.
4. Butkovskiy A.G., Samoilenko Yu.I., Control of Quantum-mechanical Processes and Systems, Kluwer 1990.
5. Churchmann C.W., Ackoff L., Arnoff E., Introduction à la Recherche Opérationnelle, Dunod, Paris 1970.
6. Huang G.M., Tarn T.J., Clark J.W., On the controllability of quantum-mechanical systems, J. Math. Phys. 24 (11) (1983) 2608-2618.
7. Kime K., Control of transition probabilities of the quantum-mechanical harmonic oscillator, Appl. Math. Lett. 6 (3) (1993) 11-15.
8. Kobayashi M., Mathematics make molecules dance, SIAM NEWS 24 (1998).
9. Ramakrishna V. et al., Controlability of molecular systems, Phys. Rev. A 51 (2) (1995) 960-966.
10. Shi S., Rabitz H., Optimal control of selectivity of unimolecular reactions via an excited electronic state with designed lasers, Chem. Phys. 97 (1992) 276-287.
11. Tannor D.J., Rice S.A., Control of selectivity of chemical reaction via control of wave packet evolution, J. Chem. Phys. 83 (1985) 5013-5018.
12. Tersigni S.H. et al., On using shaped light pulses to control the selectivity of product formation in a chemical reaction: An application to a multiple level system, J. Chem. Phys. 93 (3) (1990) 1670-1680.
13. Turinici G., On the controllability of bilinear quantum systems, in: M. Defranceschi, C. Le Bris (Eds.) Lect. Notes in Chemistry, Springer (to appear)
14. Warren W.S., Rabitz H., Dahleh M., Coherent Control of Quantum Dynamics: The Dream is Alive, Science 259 (1993) 1581-1589.