Ground state of the quantum periodic Toda lattice in the large-Nlimit

DOI10.1088/0305-4470/29/5/021zbMath0916.58039OpenAlexW2052034518MaRDI QIDQ4229710

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Publication date: 15 July 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/5/021

zbMATH Keywords

semiclassical quantizationsemiclassical eigenvaluesFloquet's characteristic exponentslarge-\(N\) asymptotic expansionsquantum periodic Toda latticezeroes of a Hill-type determinant

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of dynamical systems (37N99)

Related Items (2)

Ground state correlations of the quantum Toda lattice ⋮ Excited states configurations of the quantum Toda lattice

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