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Analytical study of stationary soliton excitations in diamond-structure chain with quartic anharmonicity

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原子与分子物理学报 2001年第2期18卷 143-149页

作者： XIA Qing lin 1, ZHOU Guang hui 2. YAN Jia ren 2. (1.Department of Applied physics and Heat Engineering, Central South {2., hunan changsha 410083 2.Department of physics, hunan normal university, hunan changsha 410081) 中南大学湖南长沙 410083 湖南师范大学湖南长沙 410081

This work analytically study soliton excitations in an one dimensional chain with the same mass but two alternating force constants between the nearest neighbors by means of multiple scales method plus quasi discrete approximation. This model simulates a row of atoms in the 〈111〉 direction of a diamond structure type of crystals. The explicit expressions of the stationary soliton solutions are obtained at some special wave vectors of the carrier wave ( q =±π/ a for acoustic mode and q=0 , ±π/ a for optical mode). The configuration of the atomic displacements of this model is different from that of diatomic chain with quartic anharmonicity.

关键词： Stationary soliton excitation Diamond structure Multiple scales method Quasi discrete approximation

Superconvergence for L^2.projection in finite elements

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Chinese Science Bulletin 1998年第1期43卷 22-24页

作者： CHEN Chuanmiao institute of Computing, hunan normal university,{2., China hunan normal {2. Institute of Computing Changsha China

Two classes of superconvergence points for L 2.projection u\-n in n degree finite elements on uniform grids are shown by element analysis method. Superconvergence points of u n are n+1 order Gauss point G n+1 for odd d≥1 (so the endpoint of each element is of superconvergent), and n+1 order pointset Z n+1 for even n ≥2.(which includes the endpoints and midpoint), respectively. Symmetry point is only an important part of them.

关键词： superconvergence finite elements L 2 projection.

Stationary Classical Chaos of Trapped Two-Component Bose-Einstein Condensates in 1-D Optical Lattice Potentials

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Communications in Theoretical physics 2007年第7期48卷 125-131页

作者： FANG Jian-Shu LIU Wing-Ki ZHU Shan-Hua1 institute of physics,{2. university of Technology,Zhuzhou 412.08,China2.Department of physics,{2. normal university,changsha 410081,China3 Department of physics,university of Waterloo,Waterloo,Ontario,Canada N2. 3G1 institute of physics Hunan University of Technology Zhuzhou 412008 China

We study the nonlinear dynamics of two-component Bose-Einstein condensates in one-dimensional pe-riodic optical lattice *** stationary state perturbation solutions of the coupled two-component nonlinearSchr?dinger/Gross-Pitaevskii equations are constructed by using the direct perturbation *** analysisrevels that the perturbation solution is the chaotic one,which indicates the existence of chaos and chaotic region inparameter *** corresponding numerical calculation results agree well with the analytical *** applying thechaotic perturbation solution,we demonstrate the atomic spatial population and the energy distribution of the systemare chaotic generally.

关键词： stationary state classical chaos two-component Bose-Einstein condensates optical lattice potential

SYMMETRIC POINT STRUCTURE OF SUPERCONVERGENCE FOR CUBIC TRIANGULAR ELEMENTS -A CONSULTATION WITH ZHU

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Journal of Computational Mathematics 2003年第6期21卷 727-732页

作者： Chuan-miao Chen (institute of Computation, hunan normal university,{2., China) institute of Computation Hunan Normal University Changsha 410081 China

Superconvergence structures for rectangular and triangular finite elements are summarized. Two debatable issues in Zhu's paper [18] are discussed. A superclose polynomial to cubic triangular finite element is construc... 详细信息

关键词： Cubic triangular element Superconvergence Symmetric points.

Scattering and absorption of particles by a black hole involving a global monopole

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Chinese physics B 2012年第4期21卷 134-137页

作者：邵建舟王永久 institute of physics Hunan Normal UniversityChangsha 410081China

Under the conditions that the wavelength of a particle is much larger than its radius of central mass, and the Schwarzschild field is weak, the scattering of a particle has been studied by many researchers. They obtained that scalar and vector particles abide by Rutherford＇s angle distribution by using the low level perturbation method and the scattered field＇s approximation in a weak field. The scattering cross section of a photon coincides with the section in Newton＇s field of point mass. We can obtain the photon＇s polarization effect by calculating the second-order perturbation in the linear Schwarzschild field. This article discusses the scattering and absorption of a particle by a black hole involving a global monopole by using the aforesaid method.

关键词： scattering absorption black hole wave function

A New Type of High Frequency Vibrational Modes for Diatomic Chain with Quartic Substrate Nonlinearity

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原子与分子物理学报 1998年第3期 141-145页

作者： Department of physics and {2. for Nonlinear science, hunan normal university, changsha hunan 410081Hu XiangyueDepartment of physics, changsha Railway university, changsha hunan 410075 Li LequnShaoyang College of education,Shaoyang

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ＡＮｅｗＴｙｐｅｏｆＨｉｇｈＦｒｅｑｕｅｎｃｙＶｉｂｒａｔｉｏｎａｌＭｏｄｅｓｆｏｒＤｉａｔｏｍｉｃＣｈａｉｎｗｉｔｈＱｕａｒｔｉｃＳｕｂｓｔｒａｔｅＮｏｎｌｉｎｅａｒｉｔｙＺｈｏｕＧｕａｎｇｈｕｉＤｅｐａｒｔｍｅｎｔｏｆＰｈｙｓｉｃｓａｎｄＩｎｓ...

关键词： Diatomic chain Phase plane analysis Nonlinear vibrational modes

The proof of FFD(L)≤11/9OPT(L) +7/9

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Chinese Science Bulletin 1997年第15期42卷 1262-1265页

作者： LI Rongheng, YUE Minyi1. Department of Mathematics, hunan normal university,{2., China 2. institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China Department of Mathematics Hunan Normal University Changsha 410081 China institute of Applied Mathematics Chinese Academy of Sciences Beijing 100080 China

THE one-dimensional bin-packing problem is defined as follows: for a given list L={p1, p2.…, Pn}, where 0i≤1 denotes the item and its size as well, we are to pack all the items in-to bins, each of which has a capaci... 详细信息

THE one-dimensional bin-packing problem is defined as follows: for a given list L={p1, p2./sub>,…, Pn}, where 0i≤1 denotes the item and its size as well, we are to pack all the items in-to bins, each of which has a capacity 1, and the goal is to minimize the number of bins *** first-fit-decreasing （FFD） algorithm is a famous approximate algorithm for the bin-pack-ing problem. The FFD algorithm first sorts all the list into non-increasing order and then pro-cesses the pieces in that order by placing each item into the first bin into which it fits.

关键词： bin-packing minimal counter-example weigtht-function FFD-algorithm.

Lepton flavor violating Z-boson decays at GigaZ as a probe of supersymmetry

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Science China(physics,Mechanics & Astronomy) 2010年第11期53卷 1949-1952页

作者： YANG JinMin 1,2.1 Department of physics,Henan {2. university,Xinxiang 453007,China 2.institute of Theoretical physics,Chinese Academy of Sciences,Beijing 100190,China 1. Department of physics Henan Normal University Xinxiang 453007 China2. Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China

This paper briefly reviews the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on Z → i j in two representative supersymmetric models: the minimal supersymmetric model without R-parity and the supersymmetric seesaw *** work concludes that under the current experimental constraints from LEP and i → j γ,these rare decays can still be enhanced to reach the sensitivity of the ***,supersymmetry can be probed via these decays at GigaZ.

关键词： Z-decay GigaZ supersymmetry

Accurate studies on dissociation energies of diatomic molecules

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Science China(physics,Mechanics & Astronomy) 2007年第5期50卷 611-621页

作者： SUN WeiGuo1, FAN QunChao1 & REN WeiYi1,2.1 institute of physics, Sichuan {2., Chengdu 610065, China 2.institute of Theoretical physics, Xihua normal {2., Nanchong 637002. China institute of physics Sichuan University Chengdu 610065 China institute of Theoretical physics Xihua Normal University Nanchong 637002 China

The molecular dissociation energies of some electronic states of hydride and N2.molecules were studied using a parameter-free analytical formula suggested in this study and the algebraic method (AM) proposed recently. The results show that the accurate AM dissociation energies DeAM agree excellently with experimental dissociation energies Deexpt, and that the dissociation energy of an electronic state such as the 2.Δg state of 7Li2.whose experimental value is not available can be predicted using the new formula.

关键词： algebraic method, diatomic molecule, vibrational energy, dissociation energy