Inverse momentum expectation values for hydrogenic systems
Robert Delbourgo, David Elliott
TL;DR
This paper presents a method to compute expectation values of arbitrary functions of momentum for hydrogenic systems using Fourier transforms of wave functions, enabling analysis of reciprocity perturbations.
Contribution
It introduces a novel approach leveraging Fourier transforms of hydrogenic wave functions to evaluate momentum-related expectation values and reciprocity perturbations.
Findings
Method allows calculation of expectation values of arbitrary functions of momentum.
Enables evaluation of reciprocity perturbation effects for all hydrogenic states.
Provides analytical tools for quantum momentum analysis in hydrogenic systems.
Abstract
By using the Fourier transforms of the general hydrogenic bound state wave functions (as ultraspherical polynomials) one may find expectation values of arbitrary functions of momentum p. In this manner the effect of a reciprocity perturbation 1/p can be evaluated for all hydrogenic states.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.