Coulomb
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31—40 of 59 matching pages
31: Bibliography Y
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-matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering.
J. Math. Phys. 16, pp. 410–420.
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-squared discretizations of the continuum: Radial kinetic energy and the Coulomb Hamiltonian.
Phys. Rev. A 11 (4), pp. 1144–1156.
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Coulomb wave functions in repulsive fields.
Phys. Rev. 49 (2), pp. 174–189.
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32: 18.39 Applications in the Physical Sciences
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The Quantum Coulomb Problem
… ►This is Coulomb’s Law. … ►c) Spherical Radial Coulomb Wave Functions
… ►The Relativistic Quantum Coulomb Problem
… ►The Coulomb–Pollaczek Polynomials
…33: 31.12 Confluent Forms of Heun’s Equation
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►This has regular singularities at and , and an irregular singularity of rank 1 at .
►Mathieu functions (Chapter 28), spheroidal wave functions (Chapter 30), and Coulomb spheroidal functions (§30.12) are special cases of solutions of the confluent Heun equation.
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34: William P. Reinhardt
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►Older work on the scattering theory of the atomic Coulomb problem led to the discovery of new classes of orthogonal polynomials relating to the spectral theory of Schrödinger operators, and new uses of old ones: this work was strongly motivated by his original ownership of a 1964 hard copy printing of the original AMS 55 NBS Handbook of Mathematical Functions.
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35: 5.20 Physical Applications
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Rutherford Scattering
►In nonrelativistic quantum mechanics, collisions between two charged particles are described with the aid of the Coulomb phase shift ; see (33.2.10) and Clark (1979). …36: 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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37: Bibliography T
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Coulomb functions with complex angular momenta.
Comput. Phys. Comm. 17 (4), pp. 351–355.
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COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments.
Comput. Phys. Comm. 36 (4), pp. 363–372.
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Coulomb and Bessel functions of complex arguments and order.
J. Comput. Phys. 64 (2), pp. 490–509.
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Erratum to “COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments”.
Comput. Phys. Comm. 159 (3), pp. 241–242.
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38: 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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39: Bibliography N
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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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