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- W2070522100 abstract "view Abstract Citations (5) References (5) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Probabilistic Method for Problems of Radiative Transfer. II. Milne's Problem. Ueno, Sueo Abstract In the present paper, based on the probability theory, we treat classically the multiple scattering of photons for Milne's problem in half-space with isotropic scattering Assuming that the multiple scattering under consideration is of Markovian property, we derive the stochastic integrodifferential equation for the probability distribution of emission from the modified Chapman-Kolmogoroff equation This diffusion equation is mathematically equivalent to the equation due to Ambarzumian. With the aid of the scattering operator defined by it and partly by the Ambarzumian first method, we obtain the exact solution of the restricted Milne problem without actually solving the Milne first integral equation by explicitly referring to the integral transformation, using Chandrasekhar's idea. Publication: The Astrophysical Journal Pub Date: September 1957 DOI: 10.1086/146410 Bibcode: 1957ApJ...126..413U full text sources ADS | Related Materials (4) Part 2: 1958AnAp...21...18U Part 3: 1959AnAp...22..468U Part 4: 1960ApJ...132..729U Part 5: 1959AnAp...22..484U" @default.
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- W2070522100 date "1957-09-01" @default.
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- W2070522100 title "The Probabilistic Method for Problems of Radiative Transfer. II. Milne's Problem." @default.
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