Bethe Ansatz and Rogers-Ramanujan-type identities

2023/03/30 by С. М. Сергеев, Sergeev, Sergey
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · #37J35 #37J37 #70G65 #70G70 #Algebraic structures and combinatorial models #DNA and Nucleic Acid Chemistry #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.2303.17729

openalex publication_date 2023/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Rogers-Ramanujan identity for \phantom|₁ψ₁ ∑_n∈ℤ ((a;q)_n)/((b;q)_n) zⁿ = ((q,b/a,az,q/az;q)_∞)/((b,q/a,z,b/az;q)_∞) can be classified as one related to the Bethe Ansatz for ``chain length N=1, ground state XXZ model with an arbitrary negative spin''.

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