Excited states configurations of the quantum Toda lattice

DOI10.1006/aphy.2000.6127zbMath0993.81024OpenAlexW1990738195MaRDI QIDQ5950546

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Publication date: 2 January 2002

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10297/620

zbMATH Keywords

integrable systemelliptic theta functionhard-wall and harmonic chain limitstwo-soliton state

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to quantum theory (81-04) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• Theory of nonlinear lattices
• Periodic Toda lattice in quantum mechanics
• Integral representation for the eigenfunctions of a quantum periodic Toda chain
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• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• Structure of matrix elements in the quantum Toda chain
• The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
• On Some Periodic Toda Lattices
• Ground state of the quantum periodic Toda lattice in the large-Nlimit
• Thermodynamics of the quantum Toda lattice
• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• Integrals of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• On the semiclassical treatment of anharmonic quantum oscillators via coherent states - the Toda chain revisited

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