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arXiv math-ph/0205016math-phmath.MP
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SU（N）的广义欧拉角参数化

Generalized Euler Angle Paramterization for SU(N)

Todd Tilma, E. C. G. Sudarshan

备注：
36 pages, no figures; added qubit/qutrit work, corrected minor definition problems and clarified Haar measure derivation. To be published in J. Phys. A: Math. and Gen
发表信息：
J. Phys. A: Math. Gen. 35 (2002) 10467-10501
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摘要：

在以前的论文（math-ph/0202002）中给出了SU（4）的欧拉角参数化。本文给出了SU（N）的广义欧拉角参数化的推导过程。本文还导出了SU（N）的Haar测度的计算公式以及它与SU（N）的Marinov体积公式的关系。作为这种参数化的有用性的示例，还将给出用于量子位/qutrit、三量子位和两个三态系统（也称为两个qutrit系统）的密度矩阵参数化和不变体积元素。

英文摘要：

In a previous paper (math-ph/0202002) an Euler angle parameterization for SU(4) was given. Here we present the derivation of a generalized Euler angle parameterization for SU(N). The formula for the calculation of the Haar measure for SU(N) as well as its relation to Marinov's volume formula for SU(N) will also be derived. As an example of this parameterization's usefulness, the density matrix parameterization and invariant volume element for a qubit/qutrit, three qubit and two three-state systems, also known as two qutrit systems, will also be given.

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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