Abstract
In this paper we consider the general problem of coherent spontaneous emission of a system of N two-level atoms coupled to a single-mode e.m. field (1). The system shall be considered enclosed in a travelling-wave cavity in order to avoid the complications due to the spatial degree of freedom of the e.m. field. Following DICKE (1), the initial state is assumed to have definite population difference 2d, and co-operation number J ; no photon is initially present. The first assumption on the initial state implies that the atoms radiate coherently and the second that the system starts evolving via purely spontaneous emission. The first quantum-mechanical s tatement of this problem has been lucidly made by DICK]~ (1) several years ago, and the solution was found in the framework of first-order t ime-dependent perturbation theory. In the following our aim is to remove such limitation, giving a full quantum solution, at least in the case where the co-operation number J is much bigger than 1. The interaction Hamiltonian is
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