摘要
本文首先讨论了球面上的量子化与从欧氏空间中所诱导的Weyl变换之间的关系,然后通过计算Moyal括号证明了量子Neumann系统是完全可积的。
In this paper, it is proved that a quantized Neumann system, i.e. a harmonic osscillator constrained on a sphere is quantum completely integrator. The method is to study the relation between quantization on the sphere and the Weyl transformation induced from Rn, and then to compute the Moyal bracket.
出处
《数学进展》
CSCD
北大核心
1992年第2期202-210,共9页
Advances in Mathematics（China）
