Canonical-quantization for classical dynamic Neuman-type systems in frames of the Moser spectral approach

• Date: 1992
• Main Authors: Bogoliubov , М. М. (jr.), Mykytiuk , I. V., Fil', В. M., Prykarpatsky , A. К.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8123
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The classical Neumann type dynamical systems describe the motion of a particles constrained to live on an $N$-sphere $S^N$ in $(N+l)$-dimensional space $\mathbb{R}^{N+1}$ and submitted to quasi-harmonic forces. Following the Moser spectral approach to a connection of the infinite dimensional finite-...