Solution to operator Fredholm equation in bipartite entangled state representation and its applications

被引:0
|
作者
Fan Hong-Yi [1 ]
Wang Ji-Suo
机构
[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[2] Univ Sci & Technol China, Dept Mat Sci & Engn, Hefei 230026, Peoples R China
[3] Liaocheng Univ, Dept Phys, Liaocheng 252059, Peoples R China
关键词
operator Fredholm equation; bipartite entangled state;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the bipartite entangled state representation and using the technique of integration within an ordered product (IWOP) of operators we construct the corresponding operator Fredholm equations and then derive their solutions. As its application we deduce some new bosonic operator identities and new relations about the two-variable Hermite polynomials.
引用
收藏
页码:611 / 616
页数:6
相关论文
共 50 条
  • [31] Representation of the coherent state for a beam splitter operator and its applications
    Zhan, Mingxia
    Jia, Fang
    Huang, Jiali
    Zhang, Huan
    Hu, Liyun
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 74 (03)
  • [32] Representation of the coherent state for a beam splitter operator and its applications
    Mingxia Zhan
    Fang Jia
    Jiali Huang
    Huan Zhang
    Liyun Hu
    Communications in Theoretical Physics, 2022, 74 (03) : 15 - 23
  • [33] BIPARTITE SQUEEZING OPERATOR FROM COHERENT ENTANGLED STATE GENERATED BY ASYMMETRIC BEAMSPLITTER
    Kuang, Qing-Qiang
    Hu, Li-Yun
    MODERN PHYSICS LETTERS B, 2011, 25 (06): : 391 - 402
  • [34] Multi-mode Coherent-Entangled State Representation and Its Applications
    LI Heng-Mei~1 YUAN Hong-Chun~(2
    Communications in Theoretical Physics, 2008, 50 (11) : 1081 - 1088
  • [35] Multi-mode Coherent-Entangled State Representation and Its Applications
    Li Heng-Mei
    Yuan Hong-Chun
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (05) : 1081 - 1088
  • [36] Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation
    张科
    李兰兰
    范洪义
    Chinese Physics B, 2024, 33 (06) : 216 - 221
  • [37] Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation
    Zhang, Ke
    Li, Lan-Lan
    Fan, Hong-Yi
    CHINESE PHYSICS B, 2024, 33 (06)
  • [38] Solution of the homogeneous Cauchy problem for an equation with a Fredholm operator multiplying the derivative
    S. P. Zubova
    Doklady Mathematics, 2009, 80 : 710 - 712
  • [39] Solution of the homogeneous Cauchy problem for an equation with a Fredholm operator multiplying the derivative
    Zubova, S. P.
    DOKLADY MATHEMATICS, 2009, 80 (02) : 710 - 712
  • [40] Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications
    王继锁
    孟祥国
    梁宝龙
    Chinese Physics B, 2010, 19 (01) : 326 - 331