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SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS

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Acta Mathematica Scientia 2011年第4期31卷 1377-1382页

作者：刘洋陈志华 Department of Mathematics Zhejiang Normal University Department of Mathematics Tongji University

In this paper, Schwarz-Pick estimates for high order Fr′echet derivatives of bounded holomorphic functions on three kinds of classical domains are presented. We generalize the early work on Schwarz-Pick estimates of ... 详细信息

关键词： Schwarz-Pick estimate holomorphic functions classical domains

Calculation of the transfer integrals in Wannier representation for a planar trans-polyacetylene chain

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原子与分子物理学报 2003年第2期20卷 219-222页

作者： TONG Guo ping (Institute of Theoretical Physics, zhejiang normal university, Jinhua 321004, P. R. of China) Institute of Theoretical Physics Zhejiang Normal Universiry Jinhua 321004

In this paper, the electronic transfer integrals, the energy gap, and the bandwidth of a planar trans polyacetylene chain are calculated in Wannier representation, in which a combination of the wave function of hydrogen like atoms is used to stand for the Wannier function. When the effective nuclear charge number Z = 2.125 and the distortion amplitude of the carbon sites u =0.0038 nm, the nearest, next, and third neighbor hopping energies obtained are -3.224 78 eV, -2.388 61 eV, 0.148 14 eV, 0.006 65 eV, and 0.006 50 eV, respectively. The energy bandwidth and gap corresponding to these values are W d =11.19 eV and E g =1.70 eV, respectively. These results coincide with the experimental values.

关键词：聚乙炔分子链分子结构积分变换计算

Generalized dromion solutions of a new higher dimensional soliton equation

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Communications in Nonlinear Science and Numerical Simulation 2001年第2期6卷 97-101页

作者： Jiefang ZHANG and Gongdi XU Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China Institute of Nonlinear Physics, zhejiang normal university, Jinhua 321004, China College of Chemical Engineering, Qiqihar university, Qiqihar 161 Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China College of Chemical Engineering Qiqihar University Qiqihar161000 China

We derive the generalized dromions of the new higher dimensional soliton equation by suitably utilizing the arbitrary function present in the bilinearized linear equations. The rich dromion structures for this system ... 详细信息

关键词： dromion soliton equation

WHITEHEAD GROUPS OF MODULE EXTENSIONS

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Acta Mathematica Scientia 2004年第2期24卷 171-174页

作者：陈焕艮陈淼森 Department of Mathematics Zhejiang Normal University Jinhua 321004 China

When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the authors calculate that K_1(R(?) M)≌U(R(?) M)/L(R(?) M). As applications, the authors also calculate some Whitehead groups for exchange rings ... 详细信息

关键词： Whitehead group module extension (strong unit)1-stable range

Three-dimensional Bose Einstein condensate vortex solitons under optical lattice and harmonic confinements

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Chinese Physics B 2013年第3期22卷 184-191页

作者：王莹宗丰德李峰波 Institute of Nonlinear Physics Zhejiang Normal University

We predict three-dimensional vortex solitons in a Bose-Einstein condensate under a complex potential,which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensional optical-lattice potential along the z axis *** vortex solitons are built in the form of a layer-chain structure made of several fundamental vortices along the optical-lattice *** has not been reported before in the three-dimensional Bose-Einstein *** using a combination of the energy density functional method with direct numerical simulation,we find three-dimensional vortex solitons with topological charges χ=1,χ=2,and χ=***,the macroscopic quantum tunneling and chirp phenomena of the vortex solitons are shown in the ***,the occurrence of macroscopic quantum tunneling provides the possibility for the experimental realization of quantum ***,we successfully manipulate the vortex solitons along the optical lattice *** stability limits for dragging the vortex solitons from an initial fixed position to a prescribed location are further pursued.

关键词： Bose-Einstein condensates Gross-Pitaevskii equation vortex soliton manipulation

Morphology transition in a heteroepitaxial system: Co/Cu(111)

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Rare Metals 2006年第Z1期25卷 540-543页

作者： WU Fengmin LU Hangjun FANG Yunzhang Department of Physics Zhejiang Normal University Jinhua 321004 China Department of Physics Zhejiang Normal University Jinhua 321004 China Department of Physics Zhejiang Normal University Jinhua 321004 China

The initial stages of multilayer Co thin film grown on Cu(111) surface were simulated by means of kinetic Monte Carlo (KMC) method, where the realistic growth model and physical parameters were presented. The effects of edge diffusion along the islands and mass transport between interlayers were included in the simulation model. Emphasis was placed on revealing the transition of growth morphology in heteroepitaxial Co/Cu(111) system with the changing of surface temperature. The simulation results show that the dendritic islands form at low temperature (T=210 K), while compact islands grow at room temperature (RT). The Volmer-Webber (three-dimensional, 3D) growth mode is presented due to the relative higher Ehrlich-Schwoebel (ES) barrier. Our simulation results are in good agreement with the real scanning tunneling microscopy (STM) experiments.

关键词： heteroepitaxy morphology transition KMC simulation ES barrier

Plane Graphs with Maximum Degree 5 Are 11-Linear-Colorable

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Journal of Mathematical Research with Applications 2012年第6期32卷 647-653页

作者： Kan WANG , Weifan WANGCollege of Mathematics, Physics and Information Engineering, zhejiang normal university,zhejiang, 321004, P. R. China College of Mathematics Physics and Information Engineering Zhejiang Normal University Zhejiang 321004

A linear coloring of a graph G is a proper vertex coloring such that the graph induced by the vertices of any two color classes is the union of vertex-disjoint paths. The linear chromatic number lc(G) of G is the smallest number of colors in a linear coloring of G. In this paper, we prove that every planar graph G with maximum degree 5 is 11-linear-colorable.

关键词： planar graph linear coloring maximum degree.

Effects of free sterols on the fluidity of polar lipids in rice dry embryo

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Chinese Science Bulletin 1999年第10期44卷 933-937页

作者： YANG Ling and SU Weiai Biology Department of zhejiang normal university, Jinhua 321004, China Shanghai Institute of Plant Physiology , Chinese Academy of Sciences , Shanghai 200032 , China Biology Department of zhejiang normal university Jinhua China Shanghai Institute of Plant Physiology Chinese Academy of Sciences Shanghai China

Free sterols from rice dry embryo reduce the onset phase transition temperature and widen the transition range of total polar lipids and phosphatidylglycerol, which increases the membrane fluidity below their phase transition temperature and decreases the fluidity of membranes above their phase transition temperature. And 50% of free sterols result in a complete disappearance of phase transition. The fluidity of other main components of polar lipids is decreased by free sterols above 0℃. The results confirm that free sterols can modulate membrane lipid fluidity.

关键词： free sterol membrane lipids fluidity rice embryo.

Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

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Chinese Physics B 2012年第5期21卷 145-152页

作者：李画眉葛龙何俊荣 Department of Physics Zhejiang Normal University

We present exact bright multi-soliton solutions of a generalized nonautonomous nonlinear Schroinger equation with time-and space-dependent distributed coefficients and an external potential which describes a pulse propagating in nonlinear media when its transverse and longitudinal directions are nonuniformly *** solutions exist in certain constraint conditions on the coefficients depicting dispersion,nonlinearity,and gain（loss）.Various shapes of bright solitons and interesting interactions between two solitons are *** applications of interest to the field and stability of the solitons are discussed.

关键词： generalized nonautonomous nonlinear Schrodinger equation multi-soliton solution,Fourier-synthesized optical lattice potential flying bird potential