Coulomb
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11—20 of 59 matching pages
11: 33.23 Methods of Computation
§33.23 Methods of Computation
… ►The methods used for computing the Coulomb functions described below are similar to those in §13.29. … ►Combined with the Wronskians (33.2.12), the values of , , and their derivatives can be extracted. … ►§33.23(vii) WKBJ Approximations
… ►Hull and Breit (1959) and Barnett (1981b) give WKBJ approximations for and in the region inside the turning point: .12: 33.22 Particle Scattering and Atomic and Molecular Spectra
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§33.22(i) Schrödinger Equation
… ► … ►§33.22(iv) Klein–Gordon and Dirac Equations
… ►§33.22(vi) Solutions Inside the Turning Point
… ►13: 33.8 Continued Fractions
14: 33.16 Connection Formulas
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§33.16(i) and in Terms of and
… ►§33.16(ii) and in Terms of and when
… ►§33.16(iii) and in Terms of when
… ►§33.16(iv) and in Terms of and when
… ►§33.16(v) and in Terms of when
…15: 33.25 Approximations
§33.25 Approximations
►Cody and Hillstrom (1970) provides rational approximations of the phase shift (see (33.2.10)) for the ranges , , and . …16: 33.10 Limiting Forms for Large or Large
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►where is defined by (33.2.9).
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§33.10(i) Large
… ►§33.10(ii) Large Positive
… ►§33.10(iii) Large Negative
…17: 33 Coulomb Functions
Chapter 33 Coulomb Functions
…18: 33.11 Asymptotic Expansions for Large
§33.11 Asymptotic Expansions for Large
… ►where is defined by (33.2.9), and and are defined by (33.8.3). … ►19: 33.20 Expansions for Small
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