Abstract
Restoration of the full probability distribution by means of its asymptotics is considered. In the present contribution such cases are discussed where information about the asymptotics can be deduced from statistical properties of real physical systems represented, e.g., by light beams in the case of the photoproduction of electrons in the field of quantum optics or by (charged) secondaries produced by collisions observed in the field of high energy physics. Arbitrarily many modes with superposition of stochastic and coherent components are taken into account including also the case of pure coherent fields. The difference of the last case compared with the superposition alone is emphasized. To solve the corresponding inverse problems the Poisson transform is applied. Scaling properties of asymptotic probability distributions and some open problems are mentioned too.
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Blažek, M. On an inverse problem in quantum statistical physics. Czech J Phys 38, 705–719 (1988). https://doi.org/10.1007/BF01596331
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DOI: https://doi.org/10.1007/BF01596331