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The quantized D-transformation

Chaos 6, 193 (1996); doi:10.1063/1.166164

Issue Date: June 1996

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M. Saraceno and R. O. Vallejos
Departamento de Física, Comisión Nacional de Energía Atómica, Av. del Libertador 8250, 1429 Buenos Aires, Argentina
We construct a new example of a quantum map, the quantized version of the D-transformation, which is the natural extension to two dimensions of the tent map. The classical, quantum and semiclassical behavior is studied. We also exhibit some relationships between the quantum versions of the D-map and the parity projected baker's map. The method of construction allows a generalization to dissipative maps which includes the quantization of a horseshoe. ©1996 American Institute of Physics.
History: Received 9 May 1995; accepted 14 September 1995
Permalink: http://link.aip.org/link/?CHAOEH/6/193/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Sq
    Classical and quantum physics: mechanics and fields Quantum mechanics Semiclassical theories and applications
  • 05.45.+b
    Statistical physics and thermodynamics Theory and models of chaotic systems
  • YEAR: 1996

PUBLICATION DATA

ISSN:
1054-1500 (print)   1089-7682 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (14)
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