Weyl-Wigner-Groenewold-Moyal量子化的元协方差及其他
Metaplectic Covariance of the Weyl-Wigner-Groenewold-Moyal Quantization and Beyond
摘要：
利用非齐次辛代数的不同实现，建立了Weyl-Wigner-Groenewold-Moyal量子化的各种形式的亚辛协方差.除此之外，在其最一般的形式$W_{\infty}$ -协方差的这种量子化方案进行了研究，量子变形的哈密顿向量场的显式表达式。在一般的基础上，得到了$W_{\infty}$ -代数的结构常数，并分析了它的子代数。
英文摘要：
The metaplectic covariance for all forms of the Weyl-Wigner-Groenewold-Moyal quantization is established with different realizations of the inhomogeneous symplectic algebra. Beyond that, in its most general form $W_{\infty}$ -covariance of this quantization scheme is investigated, and explicit expressions for the quantum-deformed Hamiltonian vector fields are presented. In a general basis the structure constants of the $W_{\infty}$-algebra are obtained and its subalgebras are analyzed.
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