The multichannel log-derivative method for scattering calculations

作者: B.R Johnson

DOI: 10.1016/0021-9991(73)90049-1

关键词: Scattering amplitudeLogarithmic derivativeScattering lengthInelastic scatteringQuantum mechanicsMatrix (mathematics)Scattering theoryPhysicsMathematical analysisRiccati equationScattering

摘要: A new method for solving multichannel scattering problems is presented. The key to the an efficient algorithm numerically matrix Ricatti equation logarithmic derivative of wave function. Previous calculalions on He/sup +/-Ne collision at 70.9 eV were repeated. (JFP)

参考文章(8)
Richard Ernest Bellman, Methods of nonlinear analysis ,(1970)
Wyman Fair, Padé approximation to the solution of the Ricatti equation Mathematics of Computation. ,vol. 18, pp. 627- 634 ,(1964) , 10.1090/S0025-5718-1964-0169380-5
Anthony Ralston, A first course in numerical analysis ,(1965)
Alexandre Chorin, John R. Radbill, Gary A. McCue, Quasilinearization and Nonlinear Problems in Fluid and Orbital Mechanics Mathematics of Computation. ,vol. 25, pp. 401- ,(1971) , 10.2307/2004944
E.P Merkes, W.T Scott, Continued fraction solutions of the Riccati equation Journal of Mathematical Analysis and Applications. ,vol. 4, pp. 309- 327 ,(1962) , 10.1016/0022-247X(62)90057-4
F. Calogero, Thomas A. Green, Variable Phase Approach to Potential Scattering American Journal of Physics. ,vol. 36, pp. 566- 567 ,(1968) , 10.1119/1.1975005