Abstract
A formalism is derived for expanding the solutions of the Schrödinger equation in terms of spherical Bessel functions. The regular and the irregular solutions are treated. A relation between the expansion coefficients and the phase shifts is derived. As an application, the expansion coefficients of both the irregular and regular Coulomb wavefunctions are given in a form of a simple recurrence relation. The expansions have been checked numerically and found to be very suitable for calculating the regular Coulomb wavefunction in a very large region of the coordinate and the Coulomb parameter.
Original language | English |
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Pages (from-to) | 924-929 |
Number of pages | 6 |
Journal | Journal of Mathematical Physics |
Volume | 12 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jan 1971 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics