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arXiv quant-ph/9803002quant-ph
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关于四元数和单极数

On Quaternions and Monopoles

G. G. Emch, A Jadczyk

摘要:

它表明,四元数的希尔伯特空间的量子力学制定允许的量子化,基于广义系统的不可导性,导致一个描述的运动的量子粒子在磁场中。相应的汉密尔顿算子与阿德勒提出的投影表示的弱化形式有关。

英文摘要:

It is shown that the quaternionic Hilbert space formulation of quantum mechanics allows a quantization, based on a generalized system of imprimitivity, that leads to a description of the motion of a quantum particle in the field of a magnetic monopole. The corresponding Hamilton operator is linked to the theory of projective representations in the weakened form proposed by Adler.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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