Control of molecular motion

Proceedings of the IEEE

Volumn 84, Issue 1, 1996, Pages 7-13

  Dahleh, Mohammed ^a,c   Peirce, Anthony ^a   Rabitz, Herschel A ^b   Ramakrishna, Viswanath ^c  

^a University of California at Santa Barbara   (United States)

^b MCMASTER UNIVERSITY   (Canada)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; EQUATIONS OF MOTION; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM THEORY;

MOLECULAR MOTION; QUANTUM WAVE INTERFERENCE PROPERTIES; SCHRODINGER EQUATION;

MOTION CONTROL;

EID: 0029779510     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/5.476021     Document Type: Article

References (31)

1. A. P. Peirce, M. Dahleh, and H. Rabitz, "Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications," Phys. Rev. A., vol. 37, no. 12, 1988.
2. S. Shi, A. Woody, and H. Rabitz, "Optimal control of selective vibrational excitation in harmonic linear chain molecules," J. Chem. Phys., vol. 88, no. 11, 1988.
3. D. Tannor and S. A. Rice, "Control of selectivity of chemical reaction via control of wave packet evolution," J. Chem. Phys., vol. 83, no. 10, 1985.
4. P. Brumer and M. Shapiro, "Laser control of molecular processes," Annu. Rev. Phys. Chem., vol. 43, pp. 257-282, 1992.
5. R. Kosloff et al., "Wavepacket dancing: Achieving chemical selectivity by shaping light pulses," Chem. Phys., vol. 139, no. 1, 1989.
6. M. Dahleh, A. P. Peirce, and H. Rabitz, "Optimal control of uncertain quantum systems," Phys. Rev. A, vol. 42, no. 3, 1990.
7. A. G. Butkovskii and Yu. I. Samoilenko, Control of Quantum-Mechanical Processes and Systems. Boston: Kluwer, 1990.
8. W. Jakubetz, J. Manz, and H. Schreier, "Theory of optimal laser pulses for selective transitions between molecular eigenstate," Chem. Phys. Lett., vol. 65, no. 1, 1990.
9. M. Dahleh, A. P. Peirce, and H. Rabitz, "Design challenges for control of molecular dynamics," IEEE Contr. Syst. Mag., vol. 12, no. 2, pp. 93-94, Apr. 1992.
10. S. A. Rice, "New ideas for guiding the evolution of a quantum system," Sci., vol. 258, pp. 412-413, Oct. 1992.
11. W. S. Warren, H. Rabitz, and M. Dahleh, "Coherent control of quantum dynamics: The dream is alive," Sci., vol. 259, no. 5101, pp. 1581-1589, Mar. 1993.
12. S. Tersigni, P. Gaspard, and S. Rice, "On using shaped light pulses to control the selectivity of product formation in a chemical reaction: An application to a multilevel system," J. Chem. Phys., vol. 93, no. 3, 1990.
13. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics, vol. 1 and 2. New York: Wiley Interscience, 1977.
14. R. Feynman, R. Leighton, and M. Sands, The Feynman Lectures in Physics, Vol. III. Reading, MA: Addison-Wesley, 1966.
15. R. W. Brockett, "System theory on group manifolds and coset spaces," SIAM J. Control and Optimiz., vol. 10, 1972.
16. H. Sussmann and V. Jurdjevic, "Controllability of nonlinear systems on lie groups," J. Diff. Eqn., vol. 12, 1972.
17. P. Olver, Applications of Lie Groups to Differential Equations, 2nd ed. New York: Springer-Verlag, 1994.
18. L. Shen, S. Shi, and H. Rabitz, "Control of coherent wavefunctions: A linearized molecular dynamics point of view," J. Phys. Chem., vol. 97, no. 35, 1993.
19. Y. Chen et al., "A feedback law for selective population," in preparation.
20. A. Isidori, Nonlinear Control Systems, 2nd ed. New York: Springer-Verlag, 1989.
21. R. Brockett, "Nonlinear systems and differenlial geometry," IEEE Proc., vol. 64, Feb. 1976.
22. M. Sargent, M. Scully, and W. Lamb, Laser Physics. Boston: Addison-Wesley, 1974.
23. P. Gross et al., "Optimally designed potentials for the control of electron wave scattering in semiconductor nanodevices," Phys. Rev. B, vol. 49, no. 11, 1994.
24. V. Ramakrishna et al., "Controllability of molecular systems," Phys. Rev. A, vol. 51, no. 2, 1995.
25. J. Ballieul, "Geometric methods for optimal control problems for nonlinear systems," J. Optimiz. Theory, vol. 25, 1978.
26. Y. Chen et al., "Control of molecular objectives in the classical regime - Applications of tracking and its extensions," in preparation.
27. Y. Chen et al., "Competitive tracking of molecular objectives in the quantum problem," in preparation.
28. Garcia and Prett, Fundamental Process Control. Boston: Butterworth, 1988.
29. G. Toth, A. Lorinc, and H. Rabitz, "The effect of control field and measurement imprecision on laboratory feedback control of quantum systems," to be published in Phys. Rev. A.
30. L. Caudill, Jr., H. Rabitz, and A. Askar, "A direct method for the inversion of physical systems," to be published in Inverse Problems.
31. N. Leonard and P. Krishnaprasad, "Motion control of invariant systems without drift on lie groups using sinusoids," preprint, Nov. 1993.