On the completeness of a system of coherent states

V. Bargmann, P. Butera, L. Girardello +1 more

A. I. Shimabukuro

Standart Coherent State Systems have an analysis based on lattices (von Neumann's lattices) in terms of wich they are classified, looking at the size of the minimun cell, by: complete, overcomplete and not complete. In this work we analize overcomplete systems with a geometrical viewpoint (holomorphic line-budles). We apply the method to evaluate the degeneracy of the lowest Landau level.

Jing, S, Nelson, C A

The structure of the state-vector space for the two-mode parabose system is investigated and a complete set of state-vectors is constructed. The basis vectors are orthonormal in order $p=2$. In order $p=2$, conserved-charge parabose coherent states are constructed and an explicit completeness relation is obtained.

Stanislav D. Tvorogov

Sicong Jing, Charles A Nelson

The structure of the state-vector space for the two-mode parabose system is investigated and a complete set of state vectors is constructed. The basis vectors are orthonormal in order p = 2. In order p = 2, conserved-charge parabose coherent states are constructed and an explicit completeness relation is obtained.

Akio Fujiwara, Hiroshi Nagaoka