Adsorption and Diffusion of O Atoms on Ag（210） Stepped Surface

The O-Ag(210)surface adsorption system was studied via the five-parameter Morse potential theory.Meanwhile,the 2O-Ag(210)system was investigated via the extended London-Eyring-Polanyi-Sato(LEPS)potential theory to learn the interaction between the adsorption states.Calculated results demonstrate that there are two stable on-surface adsorption sites(B and H)for O atoms on Ag(210)stepped surface.And the perpendicular vibrations are 30.3 and 42.9 meV,which are close to that observed in high resolution electron energy loss spectroscopy(HREELS).Also,there exists an octahedral subsurface adsorption state with a high vibrational frequency,and the interaction between the on-surface and subsurface O species is slight.The mode at 54.6 meV,which is close to that observed in HREELS(54-56 meV),is because of the vibration of the O atom on B site under the influence of that on H site.     

Effective Mass Dirac--Morse Problem with any κ-value

The Dirac-Morse problem is investigated within the framework of an approximation to the term proportional to 1/r^2 in the view of the position-dependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the Nikiforov-Uvarov method for any R-value. We also study the approximate energy eigenvalues, and the corresponding wave functions in the case of the constant-mass for pseudospin, and spin cases, respectively.     

Realizing the Underlying Quantum Dynamical Algebra SU（2） in Morse Potential

Exactly solvable models are important in quantum physics. Usually, there are some underlying quantum dynamical algebras （QDA） inherit in these physical models. For instance, the QDA SU（1, 1） has been revealed in some important one-dimensional exactly solvable potentials, such as the harmonic oscillator, PSsehl-Teller potential, the radial Kratzer molecular potential, etc. However, the case for the one-dimensional Morse potential has not been studied in Ref. . Namely, whether the Morse potential possesses an QDA SU（1, 1） or not is still an open problem.     

A LOWER BOUND OF STABLE STATIONARY TRAJECTORIES

It is proven that an autonomous system verifying some conditions has at least one stable stationary trajectory and it is also given a lower bound to the number of unstable stationary trajectories.     

MORSE CONCAVITY FOR CLOSED GEODESICS

In this paper, the concavity of closed geodesics proposed by M. Morse in 1930s is studied.     

ON A BI-HARMONIC EQUATION INVOLVING CRITICAL EXPONENT: EXISTENCE AND MULTIPLICITY RESULTS

In this paper, we consider the problem of existence as well as multiplicity results for a bi-harmonic equation under the Navier boundary conditions: △2 u = K(x)u p , u > 0 in Ω , △u = u = 0 on Ω , where Ω is a smooth domain in R n , n 5, and p + 1 = 2 n n 4 is the critical Sobolev exponent. We obtain highlightly a new criterion of existence, which provides existence results for a dense subset of positive functions, and generalizes Bahri-Coron type criterion in dimension six. Our argument gives also estimates on the Morse index of the obtained solutions and extends some known results. Moreover, it provides, for generic K, Morse inequalities at infinity, which delivers lower bounds for the number of solutions. As further applications of this Morse theoretical approach, we prove more existence results.     

莫尔斯（Morse，Samuel Finley Breese，1791-1872）美国发明家（Inventor，America）

莫尔斯1810年毕业于耶鲁大学。在19世纪30年代，由于在一次航海中受到同船乘客杰克逊的影响，莫尔斯开始热衷于电的实验。他决定制造一台电报机，但又觉得力不胜任，因为他对电的知识一无所知。他偶然地遇到了亨利。亨利毫不吝惜地帮助了他，回答了他的所有问题。此后莫尔斯开始为制造电报机谋求援助，在这里，莫尔斯作为一个持之以恒、决心果断的人显示了他的真正才干。他发明．了迄今仍被称为“莫尔斯电码”的点、划电报符号。     

费森登（Fessenden，Reginald Aubrey 1866-1932）加拿大-美国物理学家（Physicist，Canada-America）

费森登在19世纪80年代是爱迪生髓手下的首席化学家，1890—1892年又在爱迪生的死对头威斯汀豪斯手下工作。虽然同爱迪生或19世纪的其他许多发明家相比，他几乎不为人知，但他获得的专利无论在数目上还是种类上都仅次于爱迪生而居第二位，他一生获得的专利达500项之多。他的最引人注目的发明是对无线电波的调制。无线电波可以以脉冲的形式模仿莫尔斯脚电码的点划记号向外发送。     

南海台风参数模型和台风浪后报模型的应用研究

台风风场和台风浪数值后报能够有效弥补现场观测资料的不足,对南海海域的海洋经济健康发展具有重要的保障作用.针对不同台风参数模型和全谱海浪模型的联合应用,编制了包括5个台风参数模型的数值模拟程序,以南海海域的台风Ellen(1983)和Dujuan(2003)作为案例,并联合应用2个第3代全谱海浪模型,完成了台风风场、气压场和台风浪场的数值后报.通过分析不同台风参数模型和全谱海浪模型组合应用的后报结果,并与实测数据进行对比,得出了Jelesnianski风场参数模型结合第3代全谱海浪模型WW3比较适用于南海海域台风浪后报.