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Complex-classical mechanism of the tunnelling process in strongly coupled 1.5-dimensional barrier systems
http://hdl.handle.net/10228/445
http://hdl.handle.net/10228/4453027a67c-eed2-4c02-bb0f-43ea456e6084
| 名前 / ファイル | ライセンス | アクション |
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takahashi_2003_J_PHYS_A.pdf (658.1 kB)
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| Item type | 学術雑誌論文 = Journal Article(1) | |||||||||||||
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| 公開日 | 2007-11-28 | |||||||||||||
| 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-classical mechanism of the tunnelling process in strongly coupled 1.5-dimensional barrier systems | |||||||||||||
| 言語 | en | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
| 著者 |
高橋, 公也
× 高橋, 公也
WEKO
917
× Ikeda, Kensuke S |
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| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | The fringed tunnelling, which can be observed in strongly coupled 1.5-dimensional barrier systems as well as in autonomous two-dimensional barrier systems, is a manifestation of intrinsic multi-dimensional effects in the tunnelling process. In this paper, we investigate such an intrinsic multi-dimensional effect on the tunnelling by means of classical dynamical theory and semiclassical theory, which are extended to the complex domain. In particular, we clarify the underlying classical mechanism which enables multiple tunnelling trajectories to simultaneously contribute to the wavefunction, thereby resulting in the formation of the remarkable interference fringe on it. Theoretical analyses are carried out in the low-frequency regime based upon a complexified adiabatic tunnelling solution, together with the Melnikov method extended to the complex domain. These analyses reveal that the fringed tunnelling is a result of a heteroclinic-like entanglement between the complexified stable manifold of the barrier-top unstable periodic orbit and the incident beam set. Tunnelling particles reach the real phase plane very promptly, guided by the complexified stable manifold, which gives quite a different picture of the tunnelling from the ordinary instanton mechanism. More fundamentally, the entanglement is attributed to a divergent movement of movable singularities of the classical trajectory, namely, to a singular dependence of singularities on its initial condition. | |||||||||||||
| 書誌情報 |
Journal of Physics A: Mathematical and General 巻 36, 号 29, p. 7953-7987, 発行日 2003 |
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| 出版者 | IOP Publishing | |||||||||||||
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| 関連タイプ | isVersionOf | |||||||||||||
| 識別子タイプ | DOI | |||||||||||||
| 関連識別子 | https://doi.org/10.1088/0305-4470/36/29/305 | |||||||||||||
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| 識別子タイプ | URI | |||||||||||||
| 関連識別子 | http://www.iop.org/ | |||||||||||||
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| 収録物識別子タイプ | PISSN | |||||||||||||
| 収録物識別子 | 0305-4470 | |||||||||||||
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| 権利情報 | Copyright (c) 2005 IOP Publishing Ltd | |||||||||||||
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| 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 | |||||||||||||
