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Published **1954**
by U.S. Department of Commerce, National Bureau of Standards in (Washington, D.C.) .

Written in English

- Wave mechanics -- Tables.

**Edition Notes**

Other titles | Coulomb wave functions. |

Statement | by Carl-Erik Fröberg and Philip Rabinowitz. |

Series | NBS Report -- 3033 |

Contributions | Rabinowitz, Philip. |

The Physical Object | |
---|---|

Pagination | 3, 40 l : |

Number of Pages | 40 |

ID Numbers | |

Open Library | OL20223602M |

Additional Physical Format: Online version: United States. National Bureau of Standards. Tables of Coulomb wave functions. Washington, U.S. Govt. Print. These relations, referred to as "connection formulas", form the basis of the theory of Coulomb wave functions, and play an important role in many fields of physics, especially in the quantum Author: David Gaspard. Coulomb Wave Functions. The Coulomb wave functions @math{F_L(\eta,x)}, @math{G_L(\eta,x)} are described in Abramowitz & Stegun, Chapter Because there can be a large dynamic range of values for these functions, overflows are handled gracefully. 1. Effective potential for the bound state problem. COULOMB WAVE FUNCTIONS =1=%3. However it is more convenient to use the Airy integral; its properties are summarized by H. and B. S. Jeffreys (5), and a table of numerical values has been given by Miller (6). Then, using the solution of Eq.

The mathematical relations between the regular Coulomb function F ‘(ˆ) and the irregular Coulomb functions H ‘ (ˆ) and G ‘(ˆ) are obtained in the complex plane of the variables and ˆfor integer or half-integer values of ‘. These relations, referred to as \connection formulas", form the basis of the theory of Coulomb wave functions. Regular Modified Bessel Functions - Fractional Order; Irregular Modified Bessel Functions - Fractional Order; Zeros of Regular Bessel Functions. Clausen Functions; Coulomb Functions. Normalized Hydrogenic Bound States; Coulomb Wave Functions; Coulomb Wave Function Normalization Constant. Coupling Coefficients. 3-j Symbols; 6-j Symbols; 9-j. 25 Zeta and Related Functions; 26 Combinatorial Analysis; 27 Functions of Number Theory; 28 Mathieu Functions and Hill’s Equation; 29 Lamé Functions; 30 Spheroidal Wave Functions; 31 Heun Functions; 32 Painlevé Transcendents; 33 Coulomb Functions; 34 3 j, 6 j, 9 j Symbols; 35 Functions of Matrix Argument; 36 Integrals with Coalescing. We present an efficient and accurate grid method for solving the time-dependent Schrödinger equation for an atomic system interacting with an intense laser pulse. Instead of the usual finite difference (FD) method, the radial coordinate is discretized using the discrete variable representation (DVR) constructed from Coulomb wave functions. For an accurate description of the .

Charles-Augustin de Coulomb, (born J , Angoulême, France—died Aug , Paris), French physicist best known for the formulation of Coulomb’s law, which states that the force between two electrical charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. Coulomb Wave Function Normalization Constant The Coulomb wave function normalization constant is defined in Abramowitz gsl_sf_coulomb_CL (L, eta) This function computes the Coulomb wave function normalization constant \(C_L(\eta)\) for \(L > -1\). Print book: National government publication: EnglishView all editions and formats: Rating: (not yet rated) 0 with reviews - Be the first. Subjects: Coulomb functions -- Tables. Coulomb functions. Coulomb Wave, Bessel, and Spherical Bessel Functions for Complex Argument(s) and Order. Regular and irregular Coulomb wave functions and their first derivatives with respect to z,, the choice of function is given by the following table.

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