Abstract
Arelatively simple numerical method of summing angular momentum vectors with maintaining space quantization rules of each summed angular momentum has been presented. The method enables the calculation of the values of probability (p j μ) of finding a definite angular momentum J μ among all vectors J being the results of quantum summation of n angular momentum vectors j μ(μ=1-n. It may be used, e.g., in the calculations of angular momentum of many-particle states. The significance of the paper is connected with the possibility of taking into account, in a simple way, the angular momentum conservation principle for a system which consists of an arbitrary number of excitons.
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References
M. Kaczmarczyk and M. Przytula, Z. Phys. A 323, 465 (1986).
J. J. Griffin, Phys. Rev. Lett. 17, 478 (1966).
A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962), Vol. II, p. 566.
E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, Cambridge, 1963), p. 76.
M. Kaczmarczyk, J. Phys. G 26, 253 (2000).
M. Kaczmarczyk and M. Przytula, Phys. At. Nucl. 63, 758 (2000).
M. Böhning, Nucl. Phys. A 152, 529 (1970).
M. Kaczmarczyk (in press).
D. Ryckbosch and E. Van Camp, Nucl. Phys. A 469, 106 (1987).
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From Yadernaya Fizika, Vol. 67, No. 11, 2004, pp. 2123–2128.
Original English Text Copyright © 2004 by Kaczmarczyk.
This article was submitted by the author in English.
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Kaczmarczyk, M. Simple numerical method of computing the probabilities of angular momentum J ν occurring among possible vectors J Resulting from n angular momentum j μ summation (μ=1−n). Phys. Atom. Nuclei 67, 2101–2106 (2004). https://doi.org/10.1134/1.1825535
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DOI: https://doi.org/10.1134/1.1825535