Volume 13, Number 2, April-June 2007
|Page(s)||378 - 395|
|Published online||12 May 2007|
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- O.F. Alis, H. Rabitz, M.Q. Phan, C. Rosenthal and M. Pence, On the inversion of quantum mechanical systems: Determining the amount and type of data for a unique solution. J. Math. Chem. 35 (2004) 65–78. [CrossRef] [MathSciNet]
- Claudio Altafini, Controllability of quantum mechanical systems by root space decomposition of . J. Math. Phys. 43 (2002) 2051–2062. [CrossRef] [MathSciNet]
- A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle and G. Gerber, Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses. Science 282 (1998) 919–922. [CrossRef] [PubMed]
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- C.J. Bardeen, V.V. Yakovlev, J.A. Squier and K.R. Wilson, Quantum control of population transfer in green fluorescent protein by using chirped femtosecond pulses. J. Am. Chem. Soc. 120 (1998) 13023–13027. [CrossRef]
- R.R. Barton and J.S. Jr. Ivey, Nelder-Mead simplex modifications for simulation optimization. Manage. Sci. 42 (1996) 954–973. [CrossRef]
- Y. Chen, P. Gross, V. Ramakrishna, H. Rabitz and K. Mease, Competitive tracking of molecular objectives described by quantum mechanics. J. Chem. Phys. 102 (1995) 8001–8010. [CrossRef]
- C. Cohen-Tannoudji, B. Diu and F. Laloë, Mécanique Quantique, Volumes I & II. Hermann, Paris (1977).
- J.M. Geremia and H. Rabitz, Optimal hamiltonian identification: The synthesis of quantum optimal control and quantum inversion. J. Chem. Phys 118 (2003) 5369–5382. [CrossRef]
- R.S. Judson and H. Rabitz, Teaching lasers to control molecules. Phys. Rev. Lett. 68 (1992) 1500. [CrossRef] [PubMed]
- R.L. Kosut and H. Rabitz, Identification of quantum systems. In Proceedings of the 15th IFAC World Congress (2002).
- S. Kullback, Information Theory and Statistics. Wiley, New York (1959).
- S. Kullback and R.A. Leibler, On information and sufficiency. Ann. Math. Stat. 22 (1951) 79–86. [CrossRef] [MathSciNet]
- C. Le Bris, Y. Maday and G. Turinici, Towards efficient numerical approaches for quantum control. In Quantum Control: mathematical and numerical challenges, A. Bandrauk, M.C. Delfour and C. Le Bris Eds., CRM Proc. Lect. Notes Ser., AMS Publications, Providence, R.I. (2003) 127–142.
- R.J. Levis, G. Menkir and H. Rabitz, Selective bond dissociation and rearrangement with optimally tailored, strong-field laser pulses. Science 292 (2001) 709. [CrossRef] [PubMed]
- B. Li, G. Turinici, V. Ramakrishna and H. Rabitz, Optimal dynamic discrimination of similar molecules through quantum learning control. J. Phys. Chem. B. 106 (2002) 8125–8131. [CrossRef]
- Y. Maday and G. Turinici, New formulations of monotonically convergent quantum control algorithms. J. Chem. Phys 118 (18) (2003).
- M. Mirrahimi, P. Rouchon and G. Turinici, Lyapunov control of bilinear Schrödinger equations. Automatica 41 (2005) 1987–1994. [CrossRef] [MathSciNet]
- M. Mirrahimi, G. Turinici and P. Rouchon, Reference trajectory tracking for locally designed coherent quantum controls. J. Phys. Chem. A 109 (2005) 2631–2637. [CrossRef] [PubMed]
- M.Q. Phan and H. Rabitz, Learning control of quantum-mechanical systems by laboratory identification of effective input-output maps. Chem. Phys. 217 (1997) 389–400. [CrossRef]
- H. Rabitz, Perspective. Shaped laser pulses as reagents. Science 299 (2003) 525–527. [CrossRef] [PubMed]
- V. Ramakrishna, M. Salapaka, M. Dahleh and H. Rabitz, Controllability of molecular systems. Phys. Rev. A 51 (1995) 960–966. [CrossRef] [PubMed]
- S. Rice and M. Zhao, Optimal Control of Quatum Dynamics. Wiley (2000) (many additional references to the subjects of this paper may also be found here).
- N. Shenvi, J.M. Geremia and H. Rabitz, Nonlinear kinetic parameter identification through map inversion. J. Phys. Chem. A 106 (2002) 12315–12323. [CrossRef]
- M. Tadi and H. Rabitz, Explicit method for parameter identification. J. Guid. Control Dyn. 20 (1997) 486–491. [CrossRef]
- G. Turinici and H. Rabitz, Quantum wavefunction controllability. Chem. Phys. 267 (2001) 1–9. [CrossRef]
- G. Turinici and H. Rabitz, Wavefunction controllability in quantum systems. J. Phys. A 36 (2003) 2565–2576. [CrossRef] [MathSciNet]
- T Weinacht, J. Ahn and P. Bucksbaum, Controlling the shape of a quantum wavefunction. Nature 397 (1999) 233. [CrossRef]
- W. Zhu and H. Rabitz, A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator. J. Chem. Phys. 109 (1998) 385–391. [CrossRef]
- W. Zhu and H. Rabitz, Potential surfaces from the inversion of time dependent probability density data. J. Chem. Phys. 111 (1999) 472–480. [CrossRef]
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