J B Delos

Publications (3)2.17 Total impact

• Source

  Available from: univ-littoral.fr

  Article: Dynamical manifestations of Hamiltonian monodromy

  J B Delos, G Dhont, D A Sadovskií, B I Zhilinskií
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  ABSTRACT: a b s t r a c t Monodromy is the simplest obstruction to the existence of global action–angle variables in integrable Hamiltonian dynamical sys-tems. We consider one of the simplest possible systems with monodromy: a particle in a circular box containing a cylindrically symmetric potential-energy barrier. Systems with monodromy have nontrivial smooth connections between their regular Liouville tori. We consider a dynamical connection produced by an appro-priate time-dependent perturbation of our system. This turns studying monodromy into studying a physical process. We explain what aspects of this process are to be looked upon in order to uncover the interesting and somewhat unexpected dynamical behavior resulting from the nontrivial properties of the connection. We compute and analyze this behavior.
  04/2009;
• Article: Dynamical manifestation of Hamiltonian monodromy

  J. B. Delos, G. Dhont, D. A. Sadovskií, B. I. Zhilinskií
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  ABSTRACT: Hamiltonian monodromy —a topological property of the bundle of regular tori of a static Hamiltonian system which obstructs the existence of global action-angle variables— occurs in a number of integrable dynamical systems. Using as an example a simple integrable system of a particle in a circular box with quadratic potential barrier, we describe a time-dependent process which shows that monodromy in the static system leads to interesting dynamical effects.
  EPL (Europhysics Letters) 07/2008; 83(2):24003. · 2.17 Impact Factor
• Source

  Available from: wm.edu

  Article: Static and dynamical manifestations of Hamiltonian monodromy

  J B Delos, C R Schleif, G Dhont
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  ABSTRACT: The word 'monodromy' means 'once around a course', and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is 'nontrivial monodromy of action and angle variables in a Hamiltonian system'; for the obvious reason, we just call it 'Hamiltonian monodromy'. In this paper we describe two manifestations of Hamiltonian monodromy: a manifestation in a time-dependent classical system, and a manifestation in a stationary quantum system. Then we give a brief description of the mathematical theory, and finally close with a short survey of previous work on this subject.
  Journal of Physics Conference Series 03/2008; 99(1):012005.