Tomographic probability representation for quantum fermion fields

被引：0
作者：
Vladimir A. Andreev
Margarita A. Man’ko
Vladimir I. Man’ko
Nguyen Cong Thanh
Nguyen Hung Son
Stanislav D. Zakharov
机构：
[1] Russian Academy of Sciences,P. N. Lebedev Physical Institute
[2] Vietnam Academy of Sciences and Technology,Institute of Physics
来源：
Journal of Russian Laser Research | 2009年 / 30卷
关键词：
quantum tomography; scalar field; quantization; star-product;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Tomographic probability representation is introduced for fermion fields. The states of the fermions are mapped onto the probability distribution of discrete random variables (spin projections). The operators acting on the fermion states are described by fermionic tomographic symbols. The product of the operators acting on the fermion states is mapped onto the star-product of the fermionic symbols. The kernel of the star-product is obtained. The antisymmetry of the fermion states is formulated as a specific symmetry property of the tomographic joint probability distribution associated with the states.
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页码：591 / 598
页数：7
相关论文
共 37 条
  • [1] Schrödinger E(1926)Nguyen Hung Son, et al. Ann. Phys. (Leipzig) 79 489-undefined
  • [2] Landau LD(1927)undefined Z. Phys. 45 430-undefined
  • [3] Berezin FA(1974)undefined Sov. Phys. Izv. Akad. Nauk 8 1109-undefined
  • [4] Mancini S(1996)undefined Phys. Lett. A 213 1-undefined
  • [5] Man’ko VI(2009)undefined Phys. Scripta 79 065013-undefined
  • [6] Tombesi P(1998)undefined Phys. Lett. B 439 328-undefined
  • [7] Ibort A(2005)undefined Gen. Relativ. Gravit. 37 99-undefined
  • [8] Man’ko VI(2005)undefined Gen. Relativ. Gravit. 37 2003-undefined
  • [9] Marmo G(2009)undefined J. Russ. Laser Res. 30 1-undefined
  • [10] Man’ko VI(2002)undefined J. Phys. A: Math. Gen. 35 699-undefined
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