Abstract
Some general consideration is given to approximate methods of passing from the exact integral equation for the spectral density of ψ-quanta to a differential equation of the first order. It is shown that the coefficients of the latter may be formed by various functions of a certain class. As a particular case, the approximation considered in [1–3] is derived. Certain approximate solutions are compared with known solutions of the integral equation [5]. Results presented include an approximate calculation of the distribution of absorbed ψ-ray energy between the elements of the mixture for one particular case; these are compared with the corresponding exact solutions taken from [4].
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Additional information
Translated from Atomnaya Énergiya, Vol. 16, No. 4, pp. 291–295, April, 1964
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Él'tekov, V.A., Terent'ev, B.M. & Panchvidze, M.V. Gamma radiation spectrum and fractional values of absorbed energy in an arbitrary homogeneous mixture. At Energy 16, 355–360 (1964). https://doi.org/10.1007/BF01116054
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DOI: https://doi.org/10.1007/BF01116054