On the completeness of a system of coherent states

  title={On the completeness of a system of coherent states},
  author={A M Perelomov},
  • A M Perelomov
  • Published 1971
Completeness is proved for some subsystems of a system of coherent states. The linear dependence of states is investigated for the von Neumann type subsystems. A detailed study is made of the case when a regular lattice on the complex α plane with cell area S = π corresponds to the states of the system. It is shown that in this case there exists only one linear relationship between the coherent states. This relationship is equivalent to an infinite set of identities. The simplest of these can… CONTINUE READING
Highly Cited
This paper has 23 citations. REVIEW CITATIONS