  We provide an explicitly hermitian hamiltonian description for the
spontaneous radiation of black holes, which is a many-level,
multiple-degeneracy generalization of the usual Janeys-Cummings model for
two-level atoms. By standard Wigner-Wiesskopf approximation, we show that for
the first one or few particles' radiation our model yields completely the same
power spectrum as hawking radiation requires. While in the many-particle
radiation cases, numeric methods allow us to follow the evolution of
microscopic state of a black hole exactly, from which we can get the firstly
increasing then decreasing entropy variation trend for the radiation particles
just as the Page-curve exhibited. Basing on this model analysis, we claim that
two ingredients are necessary for resolutions of the information missing
puzzle, a spontaneous radiation like mechanism for the production of hawking
particles and proper account of the macroscopic superposition happening in the
full quantum description of a black hole radiation evolution and, the working
logic of replica wormholes is an effect account of this latter ingredient.
  As the basis for our interpretation of black hole Hawking radiation as their
spontaneous radiation, we also provide a fully atomic like inner structure
models for their microscopic states definition and origins of their
Bekenstein-Hawking entropy, that is, exact solution families to the Einstein
equation sourced by matter constituents oscillating across the central point
and their quantization. Such a first quantization model for black holes'
microscopic state is non necessary for our spontaneous radiation description,
but has advantages comparing with other alternatives, such as string theory
fuzzball or brick wall models.
