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椭球面上二面直角坐标系的建立 被引量:2
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作者 王振杰 李书群 《测绘工程》 CSCD 2012年第1期16-17,共2页
在椭球面上建立一种特殊的坐标系——二面直角坐标系。在该坐标系中可以清楚、简单地表达任意法截面与子午面的夹角,且可以直观地表达任意法截线曲率半径的大小以及它们与法线的关系,通过比较分析阐述该坐标系的优点。
关键词 子午圈曲率半径 卯酉圈曲率半径 任意法截曲率半径 二面直角坐标系
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An Enlarged Canonical Quantization Scheme and Quantization of a Free Particle on Two-Dimensional Sphere
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作者 张中帅 肖世发 +1 位作者 寻大毛 刘全慧 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第1期19-24,共6页
For a non-relativistic particle that freely moves on a curved surface, the fundamental commutation relations between positions and momenta are insufficient to uniquely determine the operator form of the momenta. With ... For a non-relativistic particle that freely moves on a curved surface, the fundamental commutation relations between positions and momenta are insufficient to uniquely determine the operator form of the momenta. With introduc- tion of more commutation relations between positions and Hamiltonian and those between momenta and Hamiltonian, our recent sequential studies imply that the Cartesian system of coordinates is physically preferable, consistent with Dirae's observation. In present paper, we study quantization problem of the motion constrained on the two-dimensional sphere and develop a discriminant that can be used to show how the quantization within the intrinsic geometry is im- proper. Two kinds of parameterization of the spherical surface are explicitly invoked to investigate the quantization problem within the intrinsic geometry. 展开更多
关键词 QUANTIZATION curved surface Cartesian coordinates two-dimensional spherical surface intrinsicgeometry
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