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One‐Speed Neutron Transport in Two Adjacent Half‐Spaces

dc.contributor.authorMendelson, M. R.en_US
dc.contributor.authorSummerfield, G. C.en_US
dc.date.accessioned2010-05-06T23:07:24Z
dc.date.available2010-05-06T23:07:24Z
dc.date.issued1964-05en_US
dc.identifier.citationMendelson, M. R.; Summerfield, G. C. (1964). "One‐Speed Neutron Transport in Two Adjacent Half‐Spaces." Journal of Mathematical Physics 5(5): 668-674. <http://hdl.handle.net/2027.42/71048>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71048
dc.description.abstractUsing Case's method for solving the one‐speed transport equation with isotropic scattering, the Milne problem solution, the solution for a constant source in one half‐space, and the Green's function solution are obtained for two adjacent half‐spaces. These problems have been solved previously by other methods. Here the derivations are greatly simplified by using Case's method.en_US
dc.format.extent3102 bytes
dc.format.extent360656 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleOne‐Speed Neutron Transport in Two Adjacent Half‐Spacesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, The University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71048/2/JMAPAQ-5-5-668-1.pdf
dc.identifier.doi10.1063/1.1704161en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceB. Davison, Neutron Transport Theory (Oxford University Press, London, 1958).en_US
dc.identifier.citedreferenceK. M. Case, F. de Hoffmann, and G. Placzek, Introduction to the Theory of Neutron Diffusion, (Los Alamos Scientific Laboratory, Los Alamos, 1953), Vol. 1.en_US
dc.identifier.citedreferenceS. Chandrasekhar, Radiative Transfer (Oxford University Press, London, 1950).en_US
dc.identifier.citedreferenceK. M. Case, Rev. Mod. Phys. 29, 651 (1957).en_US
dc.identifier.citedreferenceT. Auerbach, Rept. No. BNL 676 (T‐225), Brookhaven National Laboratory (1961).en_US
dc.identifier.citedreferenceK. M. Case, Recent Developments in Neutron Transport Theory (Michigan Memorial Phoenix Project, The University of Michigan, 1961); Ann. Phys. 9, 1 (1960).en_US
dc.identifier.citedreferenceJ. R. Mika, Asymptotic Reactor Theory in Plane Geometry (Polish Academy of Sciences, Institute of Nuclear Research, Rept. No. 305∕II, Warsaw, 1962).en_US
dc.identifier.citedreferenceJ. R. Mika, Nucl. Sci. Eng. 11, 415 (1961).en_US
dc.identifier.citedreferenceF. C. Shure, and M. Natelson, Ann. Phys. (N.Y.) 26, 274 (1964).en_US
dc.identifier.citedreferenceNote that T(z)T(z) and R(z)R(z) supply the proper discontinuity and f(z)f(z) and g(z)g(z) have removable singularities.en_US
dc.identifier.citedreferenceCase has obtained results for the two‐half‐space Green’s function. (See Ref. 4.)en_US
dc.owningcollnamePhysics, Department of


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