Coulomb potential barriers
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21—30 of 78 matching pages
21: 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
…22: 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 . …23: 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
…24: 33 Coulomb Functions
Chapter 33 Coulomb Functions
…25: 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). … ►26: 33.20 Expansions for Small
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§33.20(i) Case
… ►§33.20(ii) Power-Series in for the Regular Solution
… ►§33.20(iii) Asymptotic Expansion for the Irregular Solution
… ►§33.20(iv) Uniform Asymptotic Expansions
►For a comprehensive collection of asymptotic expansions that cover and as and are uniform in , including unbounded values, see Curtis (1964a, §7). …27: Bibliography H
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Soft-core Coulomb potentials and Heun’s differential equation.
J. Math. Phys. 51 (2), pp. Art. ID 022107, 19 pages.
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Two-center Coulomb functions.
Comput. Phys. Comm. 103 (2-3), pp. 209–216.
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Calculation of Coulomb wave functions for high energies.
Phys. Rev. 54 (8), pp. 627–628.
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Coulomb Wave Functions.
In Handbuch der Physik, Bd. 41/1, S. Flügge (Ed.),
pp. 408–465.
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Analytical structure and properties of Coulomb wave functions for real and complex energies.
Ann. Physics 155 (2), pp. 461–493.
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28: 33.7 Integral Representations
29: Bibliography B
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The attractive Coulomb potential polynomials.
Constr. Approx. 1 (2), pp. 103–119.
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An algorithm for regular and irregular Coulomb and Bessel functions of real order to machine accuracy.
Comput. Phys. Comm. 21 (3), pp. 297–314.
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KLEIN: Coulomb functions for real and positive energy to high accuracy.
Comput. Phys. Comm. 24 (2), pp. 141–159.
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COULFG: Coulomb and Bessel functions and their derivatives, for real arguments, by Steed’s method.
Comput. Phys. Comm. 27, pp. 147–166.
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Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
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30: Bibliography N
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Confluent hypergeometric equations and related solvable potentials in quantum mechanics.
J. Math. Phys. 41 (12), pp. 7964–7996.
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Coulomb Functions for Large Values of the Parameter
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Technical report
Atomic Energy of Canada Limited, Chalk
River, Ontario.
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COULN, a program for evaluating negative energy Coulomb functions.
Comput. Phys. Comm. 33 (4), pp. 413–419.
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Evaluation of negative energy Coulomb (Whittaker) functions.
Comput. Phys. Comm. 159 (1), pp. 55–62.
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