Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model

DOI10.1088/1751-8113/40/47/013zbMath1126.81029arXiv0706.0592OpenAlexW3104231482MaRDI QIDQ5431402

Elena Medina, Luis Martínez-Alonso

Publication date: 7 December 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0592

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Random matrices (algebraic aspects) (15B52)

Related Items (3)

An \({\hbar}\)-expansion of the Toda hierarchy ⋮ On the singular sector of the Hermitian random matrix model in the large \(N\) limit ⋮ An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model

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