Zobrazeno 1 - 10
of 115
pro vyhledávání: '"MELKONYAN, G."'
We study chaotic behavior and diffusion in the 2D periodic Lorentz gas in the finite-horizon regime. The dynamical observable which we consider is the length of single particle's trajectories, which moves in a triangular array of rigid disks. To anal
Externí odkaz:
http://arxiv.org/abs/1105.1108
We address an old problem in lattice gauge theory - the computation of the spectrum and wave functions of excited states. Our method is based on the Hamiltonian formulation of lattice gauge theory. As strategy, we propose to construct a stochastic ba
Externí odkaz:
http://arxiv.org/abs/1102.4369
Autor:
Laprise, J. F., Kroger, J., Kroger, H., -Louis, P. Y. St., Dube, L. J., Endress, E., Burra, A., Zomorrodi, R., Melkonyan, G., Moriarty, K. J. M.
Publikováno v:
Phys. Lett. A 372 (2008) 4574-4577
We suggest that random matrix theory applied to a classical action matrix can be used in classical physics to distinguish chaotic from non-chaotic behavior. We consider the 2-D stadium billiard system as well as the 2-D anharmonic and harmonic oscill
Externí odkaz:
http://arxiv.org/abs/nlin/0702037
Publikováno v:
B.G. Sidharth, F. Honsell, A. de Angelis, eds., in: Frontiers of Fundamental Physics, Springer (2006), p. 123-130
We investigate the dynamics of gravity coupled to a scalar field using a non-canonical form of the kinetic term. It is shown that its singular point represents an attractor for classical solutions and the stationary value of the field may occur dista
Externí odkaz:
http://arxiv.org/abs/hep-th/0606157
Publikováno v:
M. Ausloos and M. Dirickx, eds., in: The Logistic Map and the Route to Chaos, Springer (Berlin) 2006, p. 355-367
We discuss the questions: How to compare quantitatively classical chaos with quantum chaos? Which one is stronger? What are the underlying physical reasons?
Externí odkaz:
http://arxiv.org/abs/quant-ph/0603084
Publikováno v:
Phys.Rev. A71 (2005) 022106
We present a new way to compute and interpret quantum tunneling in a 1-D double-well potential. For large transition time we show that the quantum action functional gives an analytical expression for tunneling amplitudes. This has been confirmed by n
Externí odkaz:
http://arxiv.org/abs/quant-ph/0408051
Publikováno v:
Proc. of Dynamic Systems & Applications, M. Sambandham, ed., Vol. IV, pp. 640-646, Dynamic Publishers, Atlanta (2003).
We discuss how the concept of the quantum action can be used to characterize quantum chaos. As an example we study quantum mechanics of the inverse square potential in order to test some questions related to quantum action. Quantum chaos is discussed
Externí odkaz:
http://arxiv.org/abs/quant-ph/0407074
Publikováno v:
Vaxjo Univ. Press, Ser. Math. Modeling in Phys., Vol.10 (2004), p.287-299.
We consider a mixed chaotic Hamiltonian system and compare classical with quantum chaos. As alternative to the methods of enegy level spacing statistics and trace formulas, we construct a quantum action and a quantum analogue phase space to analyse q
Externí odkaz:
http://arxiv.org/abs/quant-ph/0406131
Publikováno v:
J.Phys.A37:6251-6265,2004
We investigate chaotic behavior in a 2-D Hamiltonian system - oscillators with anharmonic coupling. We compare the classical system with quantum system. Via the quantum action, we construct Poincar\'e sections and compute Lyapunov exponents for the q
Externí odkaz:
http://arxiv.org/abs/quant-ph/0406109
Publikováno v:
Gen.Rel.Grav. 36 (2004) 1649-1659
We investigate dynamics of scalar field with non-minimal kinetic term. Nontrivial behavior of the field in the vicinity of singular points of kinetic term is observed. In particular, the singular points could serve as attractor for classical solution
Externí odkaz:
http://arxiv.org/abs/astro-ph/0310182