Abstract
In the present paper we deal with the problem of existence and uniqueness of the conditional reduced density matrix (c.r.d.m.) corresponding to a locally normal state of a boson system. The c.r.d.m. was introduced in [3] (Part I of the present series of papers). In order to characterize the class of states possessing a c.r.d.m. we will introduce the family of conditional states of a locally normal state, and we will discuss the relation between the conditional states, the c.r.d.m. and the conditional distribution of the position distribution of the state.
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