radial_matrix_element: Radial Matrix Element.

Description Usage Arguments Details

Description

radial_matrix_element calculates the radial matrix element.

Usage

1
radial_matrix_element(n1, n2, l1, l2, j1, j2, k = 1)

Arguments

n1

A numeric. The principle quantum number of state 1.

n2

A numeric. The principle quantum number of state 2.

l1

A numeric. The orbital angular momentum number of state 1.

l2

A numeric. The orbital angular momentum number of state 2.

j1

A numeric. The total angular momentum number of state 1.

j2

A numeric. The total angular momentum number of state 2.

k

A numeric. The power of r to be calculated over. To get a dipole matrix element, k must be equal to 1. Default k = 1.

Details

This function calculates the radial matrix element for two arbitrary states (n1, l1, j1) and (n2, l2, j2). A Numerov algorithm is used to compute the radial matrix elements as done in Appendix A of Zimmerman et al, PRA, 20, 2251 (1979). The scaling used in this function is ξ = √ r, Ψ = r^(3/4) R(r) as done by Bhatti, Cromer, and Cooke, PRA, 24, 161 (1981).


bgrich/starkr documentation built on May 12, 2019, 8:21 p.m.