The calculation of eigenvalues and eigenfunctions in an asymptotically Coulomb potential
β Scribed by I.H. Aldeen; A.C. Allison; M.J. Jamieson
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 289 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0010-4655
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β¦ Synopsis
The calculation of eigenvaln~ in a central field involve~ the matching, by Newton-Raph son or otherwise, of forw~d end backward trial soluttuns Of the r~dial Schr~dinger equation; the backward inlegration is commenced in a re~ion where the potential has assumed |t~ asymptotic form. For an asymptotically Coulomb potential va: invest|gate the noss|bKity of replacing the complete backward integration by the asymptotic solutir, n.
π SIMILAR VOLUMES
The operntor associated with the so-called "time derivative of the dipole acceleration" foorm;rlntloa of the oscillator strength has previously been found to be imalid for escitations to or from s-orbitats. It is shown that the use of n cut-off Coutomb potential teads to contributions of delta func
A new version of the program MEIGEN is presented for the eigenvalue problem of Sturm-Liouville-type linear equations in Milne's method. Use of the spline function and the WKB approximation provide a high-speed method for calculating eigenvalues and eigenfunctions avoiding divergence problems.
Eigenfunctions and eigenvalues of the Schrtiinger equation are determined by propagating the Schrodinger equation in imaginary time. The method is based on representing the Hamiltonian operation on a grid. The kinetic energy is calculated by the Fourier method. The propagation operator is expanded i