LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

On the eigenfunctions of hyperbolic quantum Calogero–Moser–Sutherland systems in a Morse potential

Photo by rhodej00 from unsplash

We zoom in on special instances of recently found eigenfunctions for the hyperbolic quantum Calogero–Moser–Sutherland n -particle system in a Morse potential. First, dual difference equations in the spectral variable… Click to show full abstract

We zoom in on special instances of recently found eigenfunctions for the hyperbolic quantum Calogero–Moser–Sutherland n -particle system in a Morse potential. First, dual difference equations in the spectral variable are employed in order to infer that at the discrete spectrum the pertinent eigenfunctions reduce to previously known ones constructed in terms of multivariate Bessel polynomials. Next, it is confirmed that the celebrated multivariate hypergeometric eigenfunctions of the unperturbed hyperbolic Calogero–Moser–Sutherland model are recovered when the Morse potential is switched off.

Keywords: calogero moser; moser sutherland; morse potential

Journal Title: Letters in Mathematical Physics
Year Published: 2020

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.