Chemistry Reference
In-Depth Information
3
2.9
2.8
2.7
2.6
Figure 42.
Evolution of the
continuation parameter
as a func-
tion of the number of steps for the
discrete method (solid line) and the
smooth one (dashed line).
2.5
5
10
step
0.1
0.05
0
−0.05
−0.1
5
10
15
20
25
Figure 43.
Same as Fig. 42 but
for the continuation parameter
γ
−
.
step
References
1. L. Pontryagin et al,
Theorie mathematique des processus optimaux
, Mir, Moscou, 1974.
2. S. Rice and M. Zhao,
Optimal control of quantum dynamics
, John Wiley & Sons, Inc. New-York,
2000.
3. M. Shapiro and P. Brumer,
Principles of quantum control of molecular processes
, John Wiley &
Sons. Inc., New-York, 2003.
4. D. J. Tannor,
Introduction to quantum mechanics: A time-dependent perspective
, University
Science Books, Sausalito, 2007.
5. W. Zhu and H. Rabitz,
J. Chem. Phys.
110
, 7142 (1999).
6. W. Zhu and H. Rabitz,
J. Chem. Phys.
109
, 385 (1998).
7. Y. Maday and G. Turinici,
J. Chem. Phys.
118
, 8191 (2003).
8. B. Bonnard and M. Chyba,
Singular trajectories and their role in control theory
, Math. and
Applications 40, Springer-Verlag, Berlin, 2003.
