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arXiv math-ph/0211077math-phmath.MP
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洛伦兹变换的Moretti极分解定理的初等证明

Elementary Proof of Moretti's Polar Decomposition Theorem for Lorentz Transformations

Helmuth K. Urbantke

摘要:

给出了Moretti定理的一个比原来的证明更基本的证明,即实矩阵的通常极分解当应用于正交适当的Lorentz矩阵时,只产生其标准的旋转提升分解。(The复杂的SL(2,C)类似物是众所周知的。

英文摘要:

A proof more elementary than the original one is given for Moretti's theorem that the usual polar decomposition of real matrices when applied to an orthochronous proper Lorentz matrix yields just its standard rotation-boost decomposition. (The complex SL(2,C) analog is well-known.)

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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