On the Failure and the Modification of Semiclassical Trace Formula in the Quantum Standard Map
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概要
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NVe consider a failttre of the setaniclarssical trace f'orunul;t attr'iTctrtable to resonant periodic orbitsand qtrasi-integrability of the systeuaa by using the qtrantttrn standard 111211), We derive Gutzwillertype sezaaielassical expressions of' Try and Try' for' the Floqtret operator U, ?tnd conapare thetaaxvith qtrantunu rigorotrs expressions. XVe demonstr?tte that the diver'gence of' the fortaatrla due toresonant orbits is avoided by making ttse of the normal forums for the arction. For a qtrasi-irategr'ablecase, xve confirna tlaat the setaaiclassical expression is also well naodified.
- 社団法人日本物理学会の論文
- 1999-04-15
著者
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NAGAO Taro
Department of Physics,Graduate School of Science,Osaka University
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Nagao T
Gunma Univ. Gunma
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SAITO Keiji
Department of Applied Physics, School of Engineering, The University of Tokyo
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Nagao Taro
Department Of Physics Faculty Of Science Osaka University
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Saito Keiji
Department Of Applied Physics School Of Engineering University Of Tokyo
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Saito Keiji
Department Of Applied Physics Graduate School Of Engineering University Of Tokyo
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