Covariance of the grassmann star product

被引：2
|
作者：
Daoud, M [1 ]
机构：
[1] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
[2] Univ Ibn Zohr, LPMC, Dept Phys, Agadir, Morocco
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 52卷 / 02期
关键词：
star product; fermionic coherent states; covariance;
D O I：
10.1016/S0034-4877(03)90017-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using the coherent states of many fermionic degrees of freedom labelled by Grassmann variables, we introduce the noncommutative (precisely non-anticommutative) Grassmann star product. The covariance of this star,product under unitary transformations, particularly the canonical ones, is studied. The super star product, based on supercoherent states of supersymmetric harmonic oscillator, is also considered.
引用
收藏
页码：281 / 294
页数：14
相关论文
共 50 条
  • [21] On the performance of Grassmann-covariance-matrix-based spectrum sensing for cognitive radio
    Sure, Pallaviram
    SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2021, 46 (04):
  • [22] L-2 SUBSPACES OF GRASSMANN PRODUCT SPACES
    LIM, MJS
    PACIFIC JOURNAL OF MATHEMATICS, 1970, 33 (01) : 167 - &
  • [23] On the genesis of the middle product in Grassmann's extensive algebra
    Schweitzer, AR
    MATHEMATISCHE ANNALEN, 1910, 69 : 580 - 585
  • [24] Symmetrization of the Berezin star product and multiple star product method
    Wakatsuki, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (37): : 7701 - 7712
  • [25] On the performance of Grassmann-covariance-matrix-based spectrum sensing for cognitive radio
    Pallaviram Sure
    Sādhanā, 2021, 46
  • [26] A Novel Sign Language Recognition Framework Using Hierarchical Grassmann Covariance Matrix
    Wang, Hanjie
    Chai, Xiujuan
    Chen, Xilin
    IEEE TRANSACTIONS ON MULTIMEDIA, 2019, 21 (11) : 2806 - 2814
  • [27] Product Grassmann Manifold Representation and Its LRR Models
    Wang, Boyue
    Hu, Yongli
    Gao, Junbin
    Sun, Yanfeng
    Yin, Baocai
    THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2016, : 2122 - 2129
  • [28] STAR PRODUCT, STAR EXPONENTIAL AND APPLICATIONS
    Yoshioka, Akira
    PROCEEDINGS OF THE NINETEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION, 2018, : 234 - 249
  • [29] ON THE DERIVATION OF THE REGRESSIVE PRODUCT IN GRASSMANN GEOMETRICAL CALCULUS .3.
    SCHWEITZER, AR
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (03) : 391 - 391
  • [30] Joint Grassmann-Stiefel Quantization for MIMO Product Codebooks
    Pitaval, Renaud-Alexandre
    Tirkkonen, Olav
    IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2014, 13 (01) : 210 - 222
12345