Complex hypergeometric functions and integrable many-body problems. (23rd September 2022)

• Record Type: Journal Article
• Authors: Sarkissian, G A; Spiridonov, V P
• Is Part Of: Journal of physics. Volume 55:Number 38(2022)
• Publication Date: 2022-09-23
• Subjects: elliptic integrable systems -- elliptic hypergeometric integrals -- complex gamma function; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ac88a4
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. The derived equation is generalized to the Hamiltonian eigenvalue problem for new rational integrable N -body systems emerging from particular degenerations of the elliptic Ruijsenaars and van Diejen models.