Quantization of classical maps with tunable Ruelle-Pollicott resonances

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 5 2, 2003, Pages 562011-5620112

  Ostruszka, Andrzej ^a   Manderfeld, Christopher ^b   Zyczkowski, Karol ^a,c   Haake, Fritz ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

^c CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; RESONANCE; STATISTICAL MECHANICS;

CLASSICAL SYSTEMS; QUANTUM ENERGY;

QUANTUM THEORY;

EID: 0942289336     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

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31. System (2) is not continuous, so a part of the neighborhood of y = 1/2 is mapped to y = 0 and the remaining part of it to y = 1 - in our case both lines belong to the border of the Markov partition.
32. Confined by the computer resources available, we could investigate numerically the systems with the noise parameter M ≤ 120.
33. 2 for systems (2) and (3) does not depend on the noise parameter M and is equal to 0 and π, respectively.