Multipartite entangled state representation and its squeezing transformation

Abstract

The multipartite entangled state $|p,{\xi }_2,{\xi }_2,...,{\xi }_n>$ for the total momentum and relative coordinates of n particles is constructed. The corresponding quantum mechanical operator with respect to the classical transformation $p\to e^{{\lambda }_1}p$, ${\xi }_i\to e^{{\lambda }_i}{\xi }_i$, $i=1,...,n$, in the state $|p,{\xi }_2,{\xi }_2,...,{\xi }_n>$ is investigated.

13 pages