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Applied Mathematics and Mechanics(English Edition) 2002年第2期23卷 138-145页

作者：丁皓江王惠明陈伟球 Department of Civil Engineering Zhejiang University Hangzhou310027 P R China Department of Mechanics Zhejiang University Hangzhou310027 P R China

A method is developed for the transient responses of axisymmetric plain strain problems of cylindrical shells subjected to dynamic loads. Firstly, a special Junction was introduced to transform the inhomogeneous boundary conditions into the homogeneous ones. Secondly, using the method of separation of variables, the quantity that the displacement subtracts the special function was expanded as the multiplication series of Bassel functions and time functions. Then by virtue of the orthogonal properties of Bessel Junctions, the equation With respect to the time variable was derived, of which the solution is easily obtained. The displacement solution was finally obtained by adding the two parts mentioned above. The present method can avoid the integral transform and is fit for arbitrary loads. Numerical results are presented for internally shocked isotropic and cylindrically isotropic cylindrical shells and externally shocked cylinders, as well as for an externally shocked, cylindrically isotropic cylindrical shell that is fixed at the internal surface.

关键词： axisymmetric plain strain problem special function integral transform cylindrically isotropic

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On Mori's Theorem in Quasiconformal Theory

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Acta Mathematica Sinica,English Series 1997年第1期13卷 35-44页

作者： Qiu Songliang School of Science and Arts Hangzhou Institute of Electronics EngineeringHangzhou 310037China

In this paper,it is proved that the Mori constant,the Hlder coeflicient of the family QCK（B）of K-quasiconformal self-mappings of the unit disk B with the origin fixed,is at most 461-1/K.It is also shown that the Hld... 详细信息

关键词： Quasiconformal mapping Holder coefficient special function

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Topological effects on non-relativistic eigenvalue solutions under AB-flux field with pseudoharmonic- and Mie-type potentials

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Communications in Theoretical Physics 2023年第5期75卷 84-96页

作者： Faizuddin Ahmed Department of Physics University of Science&Technology MeghalayaRi-BhoiMeghalaya-793101India

In this paper,we investigate the quantum dynamics of a non-relativistic particle confined by the Aharonov-Bohm quantum flux field with pseudoharmonic-type potential in the background of topological defect produced by a point-like global *** solve the radial Schrödinger equation analytically and determine the exact eigenvalue solution of the quantum ***,we consider a Mie-type potential in the quantum system and solve the radial equation analytically and obtain the eigenvalue *** analyze the effects of the topological defect and the quantum flux with these potentials on the energy eigenvalue and wave function of the nonrelativistic *** fact,it is shown that the energy levels and wave functions are influenced by the topological defect shifted the result compared to the flat space *** addition,the quantum flux field also shifted the eigenvalue solutions and an analogue of the Aharonov-Bohm effect for bound-states is ***,we utilize these eigenvalue solutions to some known diatomic molecular potential models and presented the energy eigenvalue and wave function.

关键词： topological defect non-relativistic wave equation physical potential geometric quantum phase special function solutions of wave equation:bound-state

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大学物理 1995年第6期 48-48页

作者：王礼祥西南民族学院

读者来信《大学物理》１９９３年第８期发表了刘全慧等同志的文章《对“应用叠加原理时较普遍存在的一个疏忽”一文的补充》，读后觉得该文似有不妥，本文对此作些讨论。《补充》一文不当之一是：采用“电荷洞”与“电介质洞”处理原命... 详细信息

读者来信《大学物理》１９９３年第８期发表了刘全慧等同志的文章《对“应用叠加原理时较普遍存在的一个疏忽”一文的补充》，读后觉得该文似有不妥，本文对此作些讨论。《补充》一文不当之一是：采用“电荷洞”与“电介质洞”处理原命题虽然等效，但“电荷洞”与“电介质...

关键词： special function series expansion matrix elements

Construction of Exactly Solvable Ring-Shaped Potentials

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Journal of Modern Physics 2013年第4期4卷 463-467页

作者： Arup Bharali Ngangkham Nimai Singh Bajali College Pathsala-781325AssamIndia Department of Physics Gauhati UniversityGuwahati-781014AssamIndia

We propose a method for construction of exactly solvable ring-shaped potentials where the linear homogeneous second-order differential equation satisfied by special function is subjected to the extended transformation comprising a coordinate transformation and a functional transformation to retrieve the standard Schr?dinger polar angle equation form in non-relativistic quantum mechanics. By invoking plausible ansatze, exactly solvable ring-shaped potentials and corresponding angular wave functions are constructed. The method is illustrated using Jacobi and hypergeometric polynomials and the wave functions for the constructed ring-shaped potentials are normalized.

关键词： Schrodinger Equation Extended Transformation special function Ring-Shaped Potential Normalization