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Publikováno v:
Physical Review E 67, 047102 (2003)
We study the mean field approximation to a simple spatial host-pathogen model that has been shown to display interesting evolutionary properties. We show that previous derivations of the mean field equations for this model are actually only low-densi
Externí odkaz:
http://arxiv.org/abs/1307.5335
Autor:
Veronez, M., de Aguiar, M. A. M.
We derive a continuity equation for the Husimi function evolving under a general non-hermitian Hamiltonian and identify the phase space flow associated with it. For the case of unitary evolution we obtain explicit formulas for the quantum flow, which
Externí odkaz:
http://arxiv.org/abs/1306.1502
Publikováno v:
Physical Review E, 85, 041119 (2012)
We consider the classical dynamics of two particles moving in harmonic potential wells and interacting with the same external environment (HE), consisting of N non-interacting chaotic systems. The parameters are set so that when either particle is se
Externí odkaz:
http://arxiv.org/abs/1112.5329
Publikováno v:
J. Phys. A42 (2009) 105301
In the Bargmann representation of quantum mechanics, physical states are mapped into entire functions of a complex variable z*, whereas the creation and annihilation operators $\hat{a}^\dagger$ and $\hat{a}$ play the role of multiplication and differ
Externí odkaz:
http://arxiv.org/abs/0809.1759
Publikováno v:
Phys. Rev E 77, 022903 (2008)
We study the stability and synchronization of predator-prey populations subjected to noise. The system is described by patches of local populations coupled by migration and predation over a neighborhood. When a single patch is considered, random pert
Externí odkaz:
http://arxiv.org/abs/0802.2193
Autor:
Ribeiro, A D, de Aguiar, M A M
A uniform approximation for the coherent state propagator, valid in the vicinity of phase space caustics, was recently obtained using the Maslov method combined with a dual representation for coherent states. In this paper we review the derivation of
Externí odkaz:
http://arxiv.org/abs/0801.1593
Autor:
Ribeiro, A. D., de Aguiar, M. A. M.
Publikováno v:
Annals of Physics 323, 654-672 (2008)
The semiclassical formula for the quantum propagator in the coherent state representation $<\mathbf{z}'' | e^{-i\hat{H}T/\hbar} | \mathbf{z}'>$ is not free from the problem of caustics. These are singular points along the complex classical trajectori
Externí odkaz:
http://arxiv.org/abs/0704.2510
Autor:
Jaubert, L., de Aguiar, M. A. M.
Publikováno v:
Physica Scripta 75 (2007) 363
Semiclassical approximations for tunneling processes usually involve complex trajectories or complex times. In this paper we use a previously derived approximation involving only real trajectories propagating in real time to describe the scattering o
Externí odkaz:
http://arxiv.org/abs/quant-ph/0609016
Autor:
Parisio, Fernando, de Aguiar, M. A. M.
Publikováno v:
Physica A 380 (2007) 211
We present a semiclassical trace formula for the canonical partition function of arbitrary one-dimensional systems. The approximation is obtained via the stationary exponent method applied to the phase-space integration of the density operator in the
Externí odkaz:
http://arxiv.org/abs/quant-ph/0607140