Classical nonlinearity and quantum decay: The effect of classical phase-space structures

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
Yosef Ashkenazy ◽  
Luca Bonci ◽  
Jacob Levitan ◽  
Roberto Roncaglia
Keyword(s):  
Phase Space ◽  
Space Structures ◽  
Classical Phase Space

Manifestations of classical phase space structures in quantum mechanics

1993 ◽  
Vol 223 (2) ◽  
pp. 43-133 ◽  
Author(s):  
O. Bohigas ◽  
S. Tomsovic ◽  
D. Ullmo
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Space Structures ◽  
Classical Phase Space

An algorithm for computing phase space structures in chemical reaction dynamics using Voronoi tessellation

2021 ◽  
pp. 133047
Author(s):  
Yuta Mizuno ◽  
Mikoto Takigawa ◽  
Saki Miyashita ◽  
Yutaka Nagahata ◽  
Hiroshi Teramoto ◽  
...  
Keyword(s):  
Phase Space ◽  
Chemical Reaction ◽  
Voronoi Tessellation ◽  
Reaction Dynamics ◽  
Space Structures ◽  
Chemical Reaction Dynamics

Detection of Phase Space Structures of the Cat Map with Lagrangian Descriptors

2018 ◽  
Vol 23 (6) ◽  
pp. 751-766 ◽  
Author(s):  
Víctor J. García-Garrido ◽  
Francisco Balibrea-Iniesta ◽  
Stephen Wiggins ◽  
Ana M. Mancho ◽  
Carlos Lopesino
Keyword(s):  
Phase Space ◽  
Space Structures ◽  
Lagrangian Descriptors

scholarly journals NONCOMMUTATIVE METAFLUID DYNAMICS

2006 ◽  
Vol 21 (03) ◽  
pp. 505-516 ◽  
Author(s):  
A. C. R. MENDES ◽  
C. NEVES ◽  
W. OLIVEIRA ◽  
F. I. TAKAKURA
Keyword(s):  
Phase Space ◽  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Additional Term ◽  
Dissipative Force ◽  
Covariant Form ◽  
Covariant Quantization ◽  
Noncommutative Spaces ◽  
Classical Phase Space

In this paper we define a noncommutative (NC) metafluid dynamics.1,2 We applied the Dirac's quantization to the metafluid dynamics on NC spaces. First class constraints were found which are the same obtained in Ref. 4. The gauge covariant quantization of the nonlinear equations of fields on noncommutative spaces were studied. We have found the extended Hamiltonian which leads to equations of motion in the gauge covariant form. In addition, we show that a particular transformation3 on the usual classical phase space (CPS) leads to the same results as of the ⋆-deformation with ν = 0. Besides, we have shown that an additional term is introduced into the dissipative force due to the NC geometry. This is an interesting feature due to the NC nature induced into model.

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