structure relation
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11—12 of 12 matching pages
11: 18.39 Applications in the Physical Sciences
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►Physical scientists use the of Bohr as, to th and st order, it describes the structure and organization of the Periodic Table of the Chemical Elements of which the Hydrogen atom is only the first.
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►A relativistic treatment becoming necessary as becomes large as corrections to the non-relativistic Schrödinger picture are of approximate order , being the dimensionless fine structure constant , where is the speed of light.
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►Table 18.39.1 lists typical non-classical weight functions, many related to the non-classical Freud weights of §18.32, and §32.15, all of which require numerical computation of the recursion coefficients (i.
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►with matrix eigenvalues , , and the eigenvectors, , are determined by the recursion relation (18.39.46) below.
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12: Bibliography
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Some series of the zeta and related functions.
Analysis (Munich) 18 (2), pp. 131–144.
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Some determinants of Bernoulli, Euler and related numbers.
Portugal. Math. 18, pp. 91–99.
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Study of nuclear structure by electromagnetic excitation with accelerated ions.
Rev. Mod. Phys. 28, pp. 432–542.
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Algorithm 588. Fast Hankel transforms using related and lagged convolutions.
ACM Trans. Math. Software 8 (4), pp. 369–370.
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Integral equations and relations for Lamé functions.
Quart. J. Math. Oxford Ser. (2) 15, pp. 103–115.
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