Star Product for Para-Grassmann Algebra of Order Two

被引：1
|
作者：
Markov, Yuri [1 ]
Markova, Margarita [1 ]
机构：
[1] RAS, SB, Matrosov Inst Syst Dynam & Control Theory, Lermontov Str 134,POB 1233, Irkutsk 664033, Russia
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2021年 / 31卷 / 02期
关键词：
Para-Fermi statistics; Para-Grassmann algebra; Star product; COMMUTATION RELATIONS; ORTHOGONAL GROUP; COHERENT STATES; QUANTIZATION; RESPECT; SYSTEMS;
D O I：
10.1007/s00006-021-01125-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In para-Grassmann algebra a noncommutative, associative star product * (the Moyal product), which is a direct generalization of the star product in the algebra of Grassmann numbers is introduced. Isomorphism between the algebra of para-Grassmann numbers of order two equipped with the star product and the algebra of creation and annihilation operators a(k)(+/-) obeying the para-Fermi statistics of the same order is established.
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页数：18
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