Presentation of the Berry-Tabor conjecture in Lévy plates

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外文摘要：The Berry-Tabor(BT)conjecture is a famous statistical inference in quantum chaos,which not only establishes the spectral fluctuations of quantum systems whose classical counterparts are integrable but can also be used to describe other wave phenomena.In this paper,the BT conjecture has been extended to Lévy plates.As predicted by the BT conjecture,level clustering is present in the spectra of Lévy plates.The consequence of level clustering is studied by introducing the distribution of nearest neighbor frequency level spacing ratios P((～r)),which is calculated through the analytical solution obtained by the Hamiltonian approach.Our work investigates the impact of varying foundation parameters,rotary inertia,and boundary conditions on the frequency spectra,and we find that P((～r))conforms to a Poisson distribution in all cases.The reason for the occurrence of the Poisson distribution in the Lévy plates is the independence between modal frequencies,which can be understood through mode functions.

外文关键词：

Berry-Tabor conjecturefrequency spectraHamiltonian approachLévy plates

作者：

李超、侯国林

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作者单位：

School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Inner Mongolia,ChinaInnovation Program for Graduate Education of Inner Mongolia University

项目编号：

12261064118610482021MS0100411200-5223737

出版年：

2024

DOI：

10.1088/1674-1056/ad21f2

中国物理B(英文版)

中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI

影响因子：0.995

ISSN：1674-1056

年,卷(期)：2024.33(10)