Wave Function for GL(n, ℝ) Hyperbolic Sutherland Model

DOI10.1093/IMRN/RNAC281arXiv2108.04895OpenAlexW4302774033WikidataQ115538910 ScholiaQ115538910MaRDI QIDQ6142295

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Publication date: 25 January 2024

Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)

Abstract: We obtain certain Mellin-Barnes integrals which present wave functions for $GL(n,mathbbR)$ hyperbolic Sutherland model with arbitrary positive coupling constant.

Full work available at URL: https://arxiv.org/abs/2108.04895

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (4)

Baxter operators in Ruijsenaars hyperbolic system. I: Commutativity of \(Q\)-operators. ⋮ Baxter operators in Ruijsenaars hyperbolic system. II: Bispectral wave functions. ⋮ Baxter operators in Ruijsenaars hyperbolic system. III: Orthogonality and completeness of wave functions. ⋮ Baxter \(Q\)-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle cases

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