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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
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
KeywordPhase-space Particle
AbstractWe 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.
2002
ISSN0305-4470
Volume35Issue:8Pages:1895-1906
Subject AreaPhysics
Indexed BySCI
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13590
Collection理论物理所科研产出_SCI论文
Corresponding AuthorBai, ZQ , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
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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