Dynamical Systems Approach to Bohmian Mechanics 389
BIBLIOGRAPHY
1. Alcantara, O. F., Florencio, J., and Barreto F.C.S. 1999. Chaotic dynamics in billiards using
Bohm’s quantum mechanics. Phys. Rev. E 58:2693–2695.
2. Berry, M.V. 1978. Regular and irregular motion. AIP Conf. Proc. 46:16–120.
3. Bohm, D. 1952. A suggested interpretation of the quantum theory in terms of “hidden”
variables. I and II. Phys. Rev. 85:166–179 and 180–193.
4. Borondo, F., Luque, A., Villanueva, J., and Wisniacki, D.A. 2009. A dynamical systems
approach to Bohmian trajectories in a 2D harmonic oscillator. J. Phys. A 42:495103(14pp).
5. Cantor Set, Wikipedia, The Free Encyclopedia, http://en.wikipedia.org/wiki/Cantor_set
(as at November 2009).
6. Holland, P. 1995. The Quantum Theory of Motion. Cambridge: Cambridge University
Press.
7. Jammer, M. 1989. The Conceptual Development of Quantum Mechanics. Woodbury, N.Y.:
American Institute of Physics.
8. Lam, K.S. 2009. Non-Relativistic Quantum Theory: Dynamics, Symmetry, and Geometry.
Singapore: World Scientific.
9. Lopreore, C.L. and Wyatt, R.E. 1999. Quantum wave packet dynamics with trajectories.
Phys. Rev. Lett. 82:5190–5193.
10. Von Neuman, J. 1955. Mathematical Foundations of Quantum Mechanics. Princeton:
Princeton University Press.
11. Ouroboros, Wikipedia, The Free Encyclopedia, http://en.wikipedia.org/wiki/Ouroboros
(as at November 2009).
12. Philippidis, C., Dewdney, C., and Hiley, B.J. 1979. Quantum interference and the quantum
potential. Nuovo Cim. B 52:1528.
13. Sanz, A.S., Borondo, F., and Miret-Artes, S. 2001. On the classical limit in atom-surface
diffraction. Europhys. Lett. 55:303–309.
14. Sanz, A.S., Borondo, F., and Miret-Artes, S. 2002. Particle diffraction studied using quan-
tum trajectories. J. Phys.: Condens. Matter 14:6109–6145.
15. Schuster, H.G. 1988. Deterministic Chaos. Weinheim: VCH.
16. Sevryuk, M.B. 2008. Reversible Systems. Berlin: Springer–Verlag.
17. Wisniacki, D.A., Pujals, E.R., and Borondo, F. 2006. Vortex interaction, chaos and quantum
probabilities. Europhys. Lett. 73:671–676.
18. Wyatt, R.E. 2005. Quantum Dynamics with Trajectories. Introduction to Quantum Hydro-
dynamics. New York: Springer-Verlag.