非对易Grassmann星积的协方差
Covariance of noncommutative Grassmann star product
摘要:
利用Graßmann变量标记的许多费米子自由度的相干态,我们引入了非对易(确切地说是非反对易)Graßmann星积。研究了星积在酉变换,特别是正则变换下的协方差。本文还讨论了基于超对称谐振子超相干态的超星积。
英文摘要:
Using the Coherent states of many fermionic degrees of freedom labeled by Graßmann variables, we introduce the noncommutative (precisely non anticommutative) Graßmann star product. The covariance of star product under unitary transformations, particularly canonical ones, is studied. The super star product, based on supercoherent states of supersymmetric harmonic oscillator, is also considered.
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