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Time‐Dependent One‐Speed Albedo Problem for a Semi‐Infinite Medium
dc.contributor.authorKuščer, I.en_US
dc.contributor.authorZweifel, Paul Fredericken_US
dc.date.accessioned2010-05-06T23:11:06Z
dc.date.available2010-05-06T23:11:06Z
dc.date.issued1965-07en_US
dc.identifier.citationKuščer, I.; Zweifel, P. F. (1965). "Time‐Dependent One‐Speed Albedo Problem for a Semi‐Infinite Medium." Journal of Mathematical Physics 6(7): 1125-1130. <http://hdl.handle.net/2027.42/71087>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71087
dc.description.abstractA Laplace transformation technique is used to determine the neutron distribution in a semi‐infinite medium which has been irradiated by a neutron pulse. The result is given in terms of known solutions of Milne's problem and of the steady‐state albedo problem, which in turn are expressed by aid of Case's X‐function. Simple asymptotic approximations, valid for t ≫ 1, are deduced from the exact result.en_US
dc.format.extent3102 bytes
dc.format.extent450912 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.titleTime‐Dependent One‐Speed Albedo Problem for a Semi‐Infinite Mediumen_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/2027.42/71087/2/JMAPAQ-6-7-1125-1.pdf
dc.identifier.doi10.1063/1.1704379en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceK. M. Case, Ann. Phys. (N.Y.) 9, 1 (1960).en_US
dc.identifier.citedreferenceK. M. Case, Recent Developments in Neutron Transport Theory (Michigan Memorial Phoenix Project, 1961).en_US
dc.identifier.citedreferenceK. M. Case and P. F. Zweifel, Neutron Transport Theory (to be published).en_US
dc.identifier.citedreferenceR. L. Bowden, thesis, Virginia Polytechnic Institute (Report TID 18 884, 1963). See also: R. L. Bowden and C. D. Williams, J. Math. Phys. 5, 1527 (1964).en_US
dc.identifier.citedreferenceG. M. Wing, An Introduction to Transport Theory (J. Wiley & Sons, Inc., New York, 1962).en_US
dc.identifier.citedreferenceL. M. Biberman and B. A. Veklenko, Zh. Eksperim. i Teor. Fiz. 39, 88 (1960) [English transl.: Soviet Phys.‐JETP 12, 64 (1961)].en_US
dc.identifier.citedreferenceS. Chandrasekhar, Radiative Transfer (Oxford University Press, London and New York, 1950).en_US
dc.identifier.citedreferenceI. Kuščer, Can. J. Phys. 31, 1187 (1953).en_US
dc.identifier.citedreferenceHigher Transcendental Functions, edited by A. Erdélyi (McGraw‐Hill Book Company, Inc., New York, 1953), Vol. II.en_US
dc.identifier.citedreferenceA. M. Weinberg and E. P. Wigner, The Physical Theory of Neutron Chain Reactors (University of Chicago Press, Chicago, 1958), p. 235.en_US
dc.identifier.citedreferenceC. Mark, Phys. Rev. 72, 558 (1947).en_US
dc.owningcollnamePhysics, Department of


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