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题名: Power-law energy splitting generated by tunnelling between non-smooth tori
作者: Bai, ZQ
刊名: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
出版日期: 2002
卷号: 35, 期号:8, 页码:1895-1906
关键词: PHASE-SPACE ;  PARTICLE
学科分类: Physics
通讯作者: Bai, ZQ , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: We discuss the energy level splitting Deltaepsilon due to quantum tunnelling between congruent tori in phase space. In analytic cases, it is well known that Deltaepsilon decays faster than the power of h in the semiclassical limit. This is not true in non-smooth cases, specifically, when the tori are connected by a line on which the Hamiltonian is not smooth. Under the assumption that the non-smoothness depends only upon the x- or p-coordinates, the leading term in the semiclassical expansion of Deltaepsilon is derived, which shows that Deltaepsilon decays as h(k+1) when h --> 0 with k being the order of non-smoothness.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000174332200009
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13590
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Bai, ZQ. Power-law energy splitting generated by tunnelling between non-smooth tori[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2002,35(8):1895-1906.
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