Coulomb
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1—10 of 56 matching pages
1: 33.17 Recurrence Relations and Derivatives
2: 33.15 Graphics
§33.15 Graphics
►§33.15(i) Line Graphs of the Coulomb Functions and
► … ►§33.15(ii) Surfaces of the Coulomb Functions , , , and
… ► …3: 33.2 Definitions and Basic Properties
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§33.2(i) Coulomb Wave Equation
… ►The functions are defined by … is the Coulomb phase shift. … ►§33.2(iv) Wronskians and Cross-Product
…4: 33.3 Graphics
§33.3 Graphics
►§33.3(i) Line Graphs of the Coulomb Radial Functions and
… ► … ►§33.3(ii) Surfaces of the Coulomb Radial Functions and
… ►5: 33.18 Limiting Forms for Large
6: 33.24 Tables
§33.24 Tables
►Abramowitz and Stegun (1964, Chapter 14) tabulates , , , and for and , 5S; for , 6S.
7: 33.1 Special Notation
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►The main functions treated in this chapter are first the Coulomb radial functions , , (Sommerfeld (1928)), which are used in the case of repulsive Coulomb interactions, and secondly the functions , , , (Seaton (1982, 2002a)), which are used in the case of attractive Coulomb interactions.
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Curtis (1964a):
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Greene et al. (1979):
, .
, , .
8: 33.13 Complex Variable and Parameters
§33.13 Complex Variable and Parameters
►The functions , , and may be extended to noninteger values of by generalizing , and supplementing (33.6.5) by a formula derived from (33.2.8) with expanded via (13.2.42). … ►The quantities , , and , given by (33.2.6), (33.2.10), and (33.4.1), respectively, must be defined consistently so that ►
33.13.1
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33.13.2
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9: 33.14 Definitions and Basic Properties
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