Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Vergini, E."'
Publikováno v:
Published in Physical Review E on 9 October 2020 [Phys. Rev. E 102, 042210 (2020)]
In this paper [published in Phys. Rev. E 102, 042210 (2020)], a new method for the calculation of excited chaotic eigenfunctions in arbitrary energy windows is presented. We demonstrate the feasibility of using wavefunctions localized on unstable per
Externí odkaz:
http://arxiv.org/abs/2011.02033
In this paper, we extend a method recently reported [Phys. Rev. E 87, 042921 (2012)] for the calculation of the eigestates of classically highly chaotic systems to cases of mixed dynamics, i.e. those presenting regular and irregular motions at the sa
Externí odkaz:
http://arxiv.org/abs/1608.05427
We present a method to efficiently compute the eigenfunctions of classically chaotic systems. The key point is the definition of a modified Gram-Schmidt procedure which selects the most suitable elements from a basis set of scar functions localized a
Externí odkaz:
http://arxiv.org/abs/1303.2328
We demonstrate the existence of superscarring in the LiNC=LiCN isomerization reaction described by a realistic potential interaction in the range of readily attainable experimental energies. This phenomenon arises as the effect of two periodic orbits
Externí odkaz:
http://arxiv.org/abs/0910.4365
Publikováno v:
Eur. Phys. J. Special Topics 165, 93-101 (2008)
Unstable periodic orbits are known to originate scars on some eigenfunctions of classically chaotic systems through recurrences causing that some part of an initial distribution of quantum probability in its vicinity returns periodically close to the
Externí odkaz:
http://arxiv.org/abs/0712.3553
Publikováno v:
Phys. Rev. Lett. 97, 094101 (2006)
In addition to the well known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated c
Externí odkaz:
http://arxiv.org/abs/nlin/0606034
Publikováno v:
Phys. Rev. Lett. 94 054101 (2005)
Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the wi
Externí odkaz:
http://arxiv.org/abs/nlin/0402022
Publikováno v:
Phys. Rev. E 70, 035202(R) (2004)
Long periodic orbits constitute a serious drawback in Gutzwiller's theory of chaotic systems, and then it would be desirable that other classical invariants, not suffering from the same problem, could be used in the quantization of such systems. In t
Externí odkaz:
http://arxiv.org/abs/nlin/0311052
Publikováno v:
Phys. Rev. E 67, 066212 (2003)
Unstable periodic orbits scar wave functions in chaotic systems. This also influences the associated spectra, that follow the otherwise universal Porter--Thomas intensity distribution. We show here how this deviation extend to other longer periodic o
Externí odkaz:
http://arxiv.org/abs/nlin/0306062
Publikováno v:
Phys. Review E 63, 066220 2001
In this paper we study in detail the localized wave functions defined in Phys. Rev. Lett. {\bf 76}, 1613 (1994), in connection with the scarring effect of unstable periodic orbits in highly chaotic Hamiltonian system. These functions appear highly lo
Externí odkaz:
http://arxiv.org/abs/nlin/0103031