Il Nuovo Cimento B (1971-1996)

, Volume 109, Issue 4, pp 387–401 | Cite as

General theory of linear quantum transformation of Bargmann-Fock space

  • Yong-de Zhang
  • Zhong Tang


A general theory for the linear transformation in Bargmann-Fock space ofn-mode boson system is presented. It is pointed out that the unbounded operators should not be excluded absolutely and the use of the non-unitary transformations is irresistible in many applications. The group structure of the transformation is analysed and the explicit expressions of the transformation operators in terms of normal ordering are given. As some applications, a series of useful operator identities are given and the decoupling problem for general two-boson interaction is studied.

PACS 03.65.Fd

Algebraic methods PACS 42.50 Quantum optics 

PACS 74.20

Superconductivity: Theory 

PACS 75.10

General theory and models of magnetic ordering 


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Copyright information

© Società Italiana di Fisica 1994

Authors and Affiliations

  • Yong-de Zhang
    • 1
  • Zhong Tang
    • 1
  1. 1.Department of Modern PhysicsUSTCHefei, AnhuiPRC

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