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  1. 学術雑誌論文
  2. 4 自然科学

Complex Semiclassical Description of Scattering Problem in Systems with 1.5 Degrees of Freedom

http://hdl.handle.net/10228/512
http://hdl.handle.net/10228/512
40b475e4-1268-4ab8-a0cb-3099cace3333
名前 / ファイル ライセンス アクション
SCN_20071213154558_001.pdf SCN_20071213154558_001.pdf (8.9 MB)
アイテムタイプ 学術雑誌論文 = Journal Article(1)
公開日 2007-12-14
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
タイトル
タイトル Complex Semiclassical Description of Scattering Problem in Systems with 1.5 Degrees of Freedom
言語 en
言語
言語 eng
著者 高橋, 公也

× 高橋, 公也

WEKO 917
e-Rad_Researcher 70188001
Scopus著者ID 8714234900

ja 高橋, 公也

en Takahashi, Kin'ya

ja-Kana タカハシ, キンヤ


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Ikeda, Kensuke S

× Ikeda, Kensuke S

WEKO 1310

en Ikeda, Kensuke S

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内容記述タイプ Abstract
内容記述 The tunneling effect in multidimensional systems may be greatly influenced by the underlying chaotic dynamics which is generic in more than one-dimensional systems. Aiming at a classical dynamical description of chaotic tunneling, we have developed in the present paper a basic formulation for the complex-domain semiclassical wave-matrix of systems with 1.5 degrees of freedom, namely, periodically time-dependent 1D-scattering systems, which can be regarded as a minimal model of multidimensional systems. Using an autonomous 2D system equivalent to the periodically time-dependent system, the semiclassical expression of the wave-matrix described in the 1D time-dependent picture is derived. In the latter half of the paper, our semiclassical formulation is examined with two simple examples, i.e., an oscillating wall and an oscillating barrier. The semiclassical wave-matrix is constructed, paying particular attention to some problems which emerge by extending classical dynamics to complex domain, and the results are compared with the fully quantum counterparts. The semiclassical results agree quite well with the corresponding quantal results if complex classical trajectories are fully taken into account. The relationship between the semiclassical wave-matrix and Miller's classical S-matrix is also discussed.
書誌情報 Annals of Physics

巻 283, 号 1, p. 94-140, 発行日 2000-07-10
出版社
出版者 Elsevier
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1006/aphy.2000.6050
URI
識別子タイプ URI
関連識別子 http://www.sciencedirect.com/science/journal/00034916
ISSN
収録物識別子タイプ PISSN
収録物識別子 0003-4916
著作権関連情報
権利情報 Copyright © 2000 Academic Press.
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
査読の有無
値 yes
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