Chaos in effective classical and quantum dynamics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 2, 1998, Pages R1223-R1226

  Casetti, Lapo ^a   Gatto, Raoul ^a   Modugno, Michele ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003236525     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.R1223     Document Type: Article

References (27)

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16. The “closed time path” formalism, initially proposed by Schwinger in 1961, is appropriate to the study of the causal evolution of observables from given initial conditions. For such an initial value problem the boundary conditions are different from those of standard scattering theory. See, e.g., J. Schwinger, J. Math. Phys. 2, 407 (1961);
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22. The minimum of the classical potential energy has been fixed to zero for each value of B.
23. Such intersections are referred to as homoclinic intersections. This mechanism that originates chaos near a perturbed separatrix was discovered by Poincaré: see, e.g., H. Poincaré, Les Méthodes Nouvelles de la Mécanique Celeste (Gauthier-Villars, Paris, 1892). A very good discussion can be found in Ref. 13.
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