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Linked References

1. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, vol. 38 of Applied Mathematical Sciences, Springer, New York, NY, USA, 2nd edition, 1992. View at Zentralblatt MATH · View at MathSciNet
2. F. Saif, “Classical and quantum chaos in atom optics,” Physics Reports, vol. 419, no. 6, pp. 207–258, 2005. View at Publisher · View at Google Scholar
3. G. M. Zaslavsky, M. Edelman, and B. A. Niyazov, “Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics,” Chaos, vol. 7, no. 1, pp. 159–181, 1997. View at Publisher · View at Google Scholar · View at PubMed · View at Zentralblatt MATH · View at MathSciNet
4. L. D. Pustylńikov, “Stable and oscillating motions in nonautonomous dynamical systems. II,” Trudy Moskovskogo Matematičeskogo Obščestva, vol. 34, pp. 3–103, 1977, English translation in Transactions of the Moscow Mathematical Society, vol. 2, no. 1,1978. View at MathSciNet
5. F. Saif and I. Rehman, “Coherent acceleration of material wave packets in modulated optical fields,” Physical Review A, vol. 75, no. 4, Article ID 043610, 4 pages, 2007. View at Publisher · View at Google Scholar
6. J. J. Barroso, M. V. Carneiro, and E. E. N. Macau, “Bouncing ball problem: stability of the periodic modes,” Physical Review E, vol. 79, no. 2, Article ID 026206, 10 pages, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
7. J. Akram, K. Naseer, and F. Saif, “Controlled acceleration of a modulated quantum bouncer,” Journal of Russian Laser Research, vol. 30, no. 2, pp. 157–163, 2009. View at Publisher · View at Google Scholar
8. F. Saif and P. Meystre, “Coherent acceleration of material wavepackets,” Journal of Modern Physics D, vol. 16, no. 12B, pp. 2593–2598, 2007. View at Publisher · View at Google Scholar
9. B. V. Chirikov, F. M. Izrailev, and D. L. Shepelyansky, “Dynamical stochasticity in classical and quantum mechanics,” Soviet Science Review C, vol. 2, pp. 209–223, 1987.
10. F. Saif, I. Bialynicki-Birula, M. Fortunato, and W. P. Schleich, “Fermi accelerator in atom optics,” Physical Review A, vol. 58, no. 6, pp. 4779–4783, 1998. View at Publisher · View at Google Scholar
11. M. G. Raizen, “Quantum chaos with ultra-cold atoms,” Advances in Atomic, Molecular, and Optical Physics, vol. 41, p. 43, 1999.
12. M. El Ghafar, P. Törmä, V. Savichev, E. Mayr, A. Zeiler, and W. P. Schleich, “Dynamical localization in the Paul trap,” Physical Review Letters, vol. 78, no. 22, pp. 4181–4184, 1997. View at Publisher · View at Google Scholar
13. G. Alber and P. Zoller, “Laser excitation of electronic wave packets in rydberg atoms,” Physics Report, vol. 199, no. 5, pp. 231–280, 1991. View at Publisher · View at Google Scholar
14. R. Graham and M. Höhnerbach, “Quantum effects on the multiphoton dissociation of a diatomic molecule,” Physical Review A, vol. 43, no. 7, pp. 3966–3981, 1991. View at Publisher · View at Google Scholar · View at MathSciNet
15. I. Guarneri and F. Borgonovi, “Generic properties of a class of translation invariant quantum maps,” Journal of Physics A, vol. 26, no. 1, pp. 119–132, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
16. F. Benvenuto, G. Casati, I. Guarneri, and D. L. Shepelyansky, “A quantum transition from localized to extended states in a classically chaotic system,” Zeitschrift für Physik B, vol. 84, no. 1, pp. 159–163, 1991. View at Publisher · View at Google Scholar · View at MathSciNet
17. R. Lima and D. Shepelyansky, “Fast delocalization in a model of quantum kicked rotator,” Physical Review Letters, vol. 67, no. 11, pp. 1377–1380, 1991. View at Publisher · View at Google Scholar
18. L. D. Pustylńikov, “On oscillatory motions in a certain dynamical system,” Izvestiya Academii Nauk SSSR. Seriya Matematicheskaya, vol. 31, p. 325, 1988. View at Zentralblatt MATH
19. H. Wallis, “Quantum theory of atomic motion in laser light,” Physics Reports, vol. 255, no. 4, pp. 203–287, 1995. View at Publisher · View at Google Scholar
20. B. V. Chirikov, “A universal instability of many-dimensional oscillator systems,” Physics Reports, vol. 52, no. 5, pp. 264–379, 1979. View at MathSciNet
21. G. Casati, I. Guarneri, and D. L. Shepelyansky, “Hydrogen atom in monochromatic field: chaos and dynamical photonic localization,” IEEE Journal of Quantum Electronics, vol. 24, no. 7, pp. 1420–1444, 1988. View at Publisher · View at Google Scholar
22. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications, Springer, New York, NY, USA, 1996.