Matrix elements in the basis of hydrogenic wave functions using an integral transformation
- 1 March 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 45 (5) , 2807-2809
- https://doi.org/10.1103/physreva.45.2807
Abstract
An integral transformation is given which when applied to hydrogenic-type wave functions converts them into Gaussian form. This is particularly needed in the evaluation of the two-particle matrix elements of the interaction operator. Further examples of the use of the transformation are given by calculating the Wigner transform for the ground state of the H atom and matrix elements of the powers of the z coordinate.Keywords
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