a concise derivation of the plane-wave partial-wave expansion

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A concise derivation of the planewave partialwave expansion William J. Thompson Citation: American Journal of Physics 60, 378 (1992); doi: 10.1119/1.16881 View online: http://dx.doi.org/10.1119/1.16881 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/60/4?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in The partial-wave expansion for scattering in waveguides J. Acoust. Soc. Am. 120, 2518 (2006); 10.1121/1.2354077 Comment on ‘‘A concise derivation of the planewave partialwave expansion,’’ by William J. Thompson [Am. J. Phys. 6 0, 378–379 (1992)] Am. J. Phys. 61, 857 (1993); 10.1119/1.17423 Rates of convergence of the partialwave expansions of atomic correlation energies J. Chem. Phys. 96, 4484 (1992); 10.1063/1.462811 The planewave expansion method J. Math. Phys. 15, 1913 (1974); 10.1063/1.1666556 Positivity Constraints on CrossingSymmetric PartialWave Expansions J. Math. Phys. 11, 2913 (1970); 10.1063/1.1665461 This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 129.120.242.61 On: Sat, 22 Nov 2014 13:02:59

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Page 1: A concise derivation of the plane-wave partial-wave expansion

A concise derivation of the planewave partialwave expansionWilliam J. Thompson Citation: American Journal of Physics 60, 378 (1992); doi: 10.1119/1.16881 View online: http://dx.doi.org/10.1119/1.16881 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/60/4?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in The partial-wave expansion for scattering in waveguides J. Acoust. Soc. Am. 120, 2518 (2006); 10.1121/1.2354077 Comment on ‘‘A concise derivation of the planewave partialwave expansion,’’ by William J. Thompson [Am.J. Phys. 6 0, 378–379 (1992)] Am. J. Phys. 61, 857 (1993); 10.1119/1.17423 Rates of convergence of the partialwave expansions of atomic correlation energies J. Chem. Phys. 96, 4484 (1992); 10.1063/1.462811 The planewave expansion method J. Math. Phys. 15, 1913 (1974); 10.1063/1.1666556 Positivity Constraints on CrossingSymmetric PartialWave Expansions J. Math. Phys. 11, 2913 (1970); 10.1063/1.1665461

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

129.120.242.61 On: Sat, 22 Nov 2014 13:02:59

Page 2: A concise derivation of the plane-wave partial-wave expansion

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

129.120.242.61 On: Sat, 22 Nov 2014 13:02:59

Page 3: A concise derivation of the plane-wave partial-wave expansion

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

129.120.242.61 On: Sat, 22 Nov 2014 13:02:59