Coulomb potentials
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9 matching pages
1: 17.17 Physical Applications
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►See Kassel (1995).
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►It involves -generalizations of exponentials and Laguerre polynomials, and has been applied to the problems of the harmonic oscillator and Coulomb potentials.
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2: 33.22 Particle Scattering and Atomic and Molecular Spectra
3: 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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4: Bibliography C
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On the expansion of a Coulomb potential in spherical harmonics.
Proc. Cambridge Philos. Soc. 46, pp. 626–633.
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5: Bibliography S
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Coulomb functions for attractive and repulsive potentials and for positive and negative energies.
Comput. Phys. Comm. 146 (2), pp. 225–249.
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6: 13.28 Physical Applications
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►For potentials in quantum mechanics that are solvable in terms of confluent hypergeometric functions see Negro et al. (2000).
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§13.28(ii) Coulomb Functions
…7: 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). … ►Suppose the potential energy of a gas of point charges with positions and free to move on the infinite line , is given by ►
5.20.1
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5.20.2
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8: Bibliography M
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Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions.
Comput. Phys. Comm. 178 (7), pp. 535–551.
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Precise Coulomb wave functions for a wide range of complex , and
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Computer Physics Communications 176 (3), pp. 232–249.
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Applying -Laguerre polynomials to the derivation of -deformed energies of oscillator and Coulomb systems.
Romanian Reports in Physics 57 (1), pp. 25–34.
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9: Bibliography B
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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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Coulomb functions (negative energies).
Comput. Phys. Comm. 20 (3), pp. 447–458.
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Uniform approximation for potential scattering involving a rainbow.
Proc. Phys. Soc. 89 (3), pp. 479–490.
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A class of solvable potentials.
Nuovo Cimento (10) 25, pp. 864–879.
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Stability of repulsive Bose-Einstein condensates in a periodic potential.
Phys. Rev. E (3) 63 (036612), pp. 1–11.
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