Contribution of Discrete and Continuum Wave Functions in the Ground State Polarizability of Hydrogen

Authors

  • Chandra M. Adhikari Department of Chemistry, Physics and Materials Science, Fayetteville State University, Fayetteville, NC 28301, USA

DOI:

https://doi.org/10.3126/ijorn.v11i1.64333

Keywords:

Polarizability, Radial Green function, Matrix elements, Discrete and Continuum wave functions

Abstract

We analytically derive a discrete radial Green function for a hydrogenic system in terms of associated Leguerre polynomials. We investigate the polarizability of the ground-state hydrogen using the so-called length gauge approximation of electrodynamics. The polarizability is the sum of the polarization matrix elements for the negative and the positive frequency values. We estimate the contribution of discrete wavefunctions to the static ground state polarizability. We found that the contribution of continuum states dominates over that of discrete states to the polarizability by an order of magnitude.

Downloads

Download data is not yet available.
Abstract
98
PDF
88

Downloads

Published

2023-12-31

How to Cite

Adhikari, C. M. (2023). Contribution of Discrete and Continuum Wave Functions in the Ground State Polarizability of Hydrogen. International Journal of Operational Research/Nepal, 11(1), 25–33. https://doi.org/10.3126/ijorn.v11i1.64333

Issue

Vol. 11 No. 1 (2023)

Section

Articles

License

Copyright (c) 2023 International Journal of Operational Research/Nepal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

CC BY: This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.