黎曼曲面与量子化
Riemann surface and quantization
摘要：
本文从复分析效应的观点出发，提出了一种统一考虑经典力学和量子力学的途径。量子化可以用对应于多价$\operatorname{Ln}Ψ$函数的黎曼曲面来解释。给出了量子系统的“轨迹”和费曼的路径积分的直观解释。得到了具有满足狄拉克量子化规则的磁荷的磁偶极子。
英文摘要：
This paper proposes an approach of the unified consideration of classical and quantum mechanics from the standpoint of the complex analysis effects. It turns out that quantization can be interpreted in terms of the Riemann surface corresponding to the multivalent $\operatorname{Ln}Ψ$ function. A visual interpretation of "trajectories" of the quantum system and of the Feynman's path integral is presented. A magnetic dipole having a magnetic charge that satisfies the Dirac quantization rule was obtained.
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