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算符代换与G型坐标系
SUBSTITUTE OF OPERATORS AND TYPE OF G FOR COORDINATE SYSTEMS
【摘要】 本文从笛氏坐标系出发,利用无穷小切变换施行连续变换,在严格的一阶近似下,得出从经典体系向量子体系过渡程序有效的一切可行坐标系应满足条件;这里的是相应于无穷小切变换生成函数G(q,pq)的厄米算符。
【Abstract】 When the quantizations were based upon formulism of the Poissonbrackets, we had researched into the feasible curve coordinates whichare generated by the infinitesimal canonical transformations from Carte-sian coordinates. We obtained the following conditions of feasible coor-dinates:[qi, G(q,p(q))]=0where the G(q,p(q)) is a Hermitian operator correponding to the gener-atrix function of infinitesimal contact transformation.
- 【文献出处】 湘潭大学自然科学学报 ,Natural Science Journal of Xiangtan University , 编辑部邮箱 ,1988年02期
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