Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions

DOI10.1016/j.jde.2019.10.033zbMath1434.35137OpenAlexW2982297261WikidataQ126860238 ScholiaQ126860238MaRDI QIDQ2293694

E. Emsiz, Jan Felipe van Diejen

Publication date: 5 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.10.033

zbMATH Keywords

Toda chainanalytic solutionsstationary Schrödinger equationCalogero-Sutherland systemmultivariate (confluent) hypergeometric functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with quantum mechanics (35Q40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Solutions to PDEs in closed form (35C05) Hypergeometric functions associated with root systems (33C67) Partial difference equations (39A14) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

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

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