非交换空间上Maxwell理论的Dirac量子化
Dirac's Quantization of Maxwell's Theory on Non-Commutative Spaces
摘要：
本文讨论了非对易空间上麦克斯韦理论的狄拉克量子化。第一类约束被发现是相同的经典电动力学。研究了非对易空间上电磁场非线性方程的规范协变量子化。我们已经找到了扩展的哈密顿量，导致最一般的规范协变形式的运动方程。作为一种特殊情况，我们研究了基于Dirac括号的规范固定方法。讨论了波函数的构造和物理观测量的问题。
英文摘要：
Dirac's quantization of the Maxwell theory on non-commutative spaces has been considered. First class constraints were found which are the same as in classical electrodynamics. The gauge covariant quantization of the non-linear equations of electromagnetic fields on non-commutative spaces were studied. We have found the extended Hamiltonian which leads to equations of motion in the most general gauge covariant form. As a special case, the gauge fixing approach on the basis of Dirac's brackets has been investigated. The problem of the construction of the wave function and physical observables have been discussed.
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