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Power-law energy splitting generated by tunnelling between non-smooth tori
Bai, ZQ; Bai, ZQ , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2002
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号35期号:8页码:1895-1906
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.
部门归属Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Phase-space Particle
学科领域Physics
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收录类别SCI
WOS记录号WOS:000174332200009
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13590
专题理论物理所1978-2010年知识产出
通讯作者Bai, ZQ , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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GB/T 7714
Bai, ZQ,Bai, ZQ , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. Power-law energy splitting generated by tunnelling between non-smooth tori[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2002,35(8):1895-1906.
APA Bai, ZQ,&Bai, ZQ , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2002).Power-law energy splitting generated by tunnelling between non-smooth tori.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,35(8),1895-1906.
MLA Bai, ZQ,et al."Power-law energy splitting generated by tunnelling between non-smooth tori".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 35.8(2002):1895-1906.
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