Abstract
In this paper the results of the investigation of the replacement of a block in an infinite two-dimensional homogeneous square lattice by a block with different physical properties are presented. In inactive media the solution is analogous to the solution given in [1]; for multiplying media a some what modified method of solution is proposed, which method is employed in the quantum theory of fields [2]. The case of a critical infinite lattice is examined as the limiting case of the two preceding. When the homogenization conditions are fulfilled, results are obtained corresponding to the homogeneous analog of the problem considered.
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A. D. Galanin, Theory of Nuclear Reactors for Thermal Neutrons [in Russian], Atomizdat, Moscow, (1959).
J. Schwinger, Phys. Rev.,75, 651 (1949).
S. M. Feinberg, Reactor Construction and the Theory of Reactors (Reports, Soviet delegation to the International Conference on Peaceful Uses of Atomic Energy) [in Russian], Moscow, Izd-vo AN SSSR, page 152.
K. Meetz. Proceedings of the Second United Nations International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958), vol. 16, p. 611.
P. Morse and H. Feshbach, Methods of Theoretical Physics. New York-Toronto-London, McGraw-Hill Book Co. (1953).
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This article was received in Czechoslovakian.
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Trlifai, L., Rochek, I. Block replacement in a two-dimensional square lattice. The Soviet Journal of Atomic Energy 9, 904–913 (1961). https://doi.org/10.1007/BF02033260
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DOI: https://doi.org/10.1007/BF02033260