1—10 of 36 matching pages
1: 28.32 Mathematical Applications
… ►The separated solutions can be obtained from the modified Mathieu’s equation (28.20.1) for and from Mathieu’s equation (28.2.1) for , where is the separation constant and . … ► … ►is separated in this system, each of the separated equations can be reduced to the Whittaker–Hill equation (28.31.1), in which are separation constants. …
2: 31.10 Integral Equations and Representations
Kernel Functions… ►where is a separation constant. … ►
31.10.19►where and are separation constants. … ►and and are separation constants. …
3: 29.18 Mathematical Applications
4: 30.14 Wave Equation in Oblate Spheroidal Coordinates
5: Bibliography S
Elliptic Cylinder and Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients.
John Wiley and Sons, Inc., New York.
Spheroidal Wave Functions: Including Tables of Separation Constants and Coefficients.
Technology Press of M. I. T. and John Wiley & Sons, Inc., New York.
6: 30.13 Wave Equation in Prolate Spheroidal Coordinates
… ►with and separation constants and . …
7: 33.22 Particle Scattering and Atomic and Molecular Spectra
… ►With denoting here the elementary charge, the Coulomb potential between two point particles with charges and masses separated by a distance is , where are atomic numbers, is the electric constant, is the fine structure constant, and is the reduced Planck’s constant. The reduced mass is , and at energy of relative motion with relative orbital angular momentum , the Schrödinger equation for the radial wave function is given by ►
8: 12.5 Integral Representations
… ►where the contour separates the poles of from those of . … ►where the contour separates the poles of from those of . …
9: 13.16 Integral Representations
… ►where the contour of integration separates the poles of from those of . … ►where the contour of integration separates the poles of from those of . …