Two body problems with magnetic interactions
Hesham Mansour, Ahmed Gamal
TL;DR
This paper explores two-body magnetic interaction potentials with oscillatory characteristics and derives eigenvalues and eigenfunctions using the Nikiforov-Uvarov method.
Contribution
It introduces specific oscillatory two-body magnetic potentials and applies a mathematical method to solve for their eigenvalues and eigenfunctions.
Findings
Derived eigenvalues and eigenfunctions for the proposed potentials
Demonstrated the applicability of the Nikiforov-Uvarov method to magnetic two-body problems
Provided insights into the spectral properties of magnetic interaction potentials
Abstract
In the present work, we present different two-body potentials which have oscillatory shapes with magnetic interactions. The eigenvalues and eigenfunctions are obtained for one of those problems using Nikiforov-Uvarov method.
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.
Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Non-Hermitian Physics · Quantum, superfluid, helium dynamics