Harmonic oscillator and Darboux transformations in many dimensions

DOI10.1016/S0375-9601(00)00087-6zbMath0948.81539OpenAlexW2118173647MaRDI QIDQ1569585

Alexei Oblomkov, Oleg A. Chalykh

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00087-6

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ Continuous and discrete dynamical Schrödinger systems: explicit solutions

Cites Work

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• Differential equations in the spectral parameter
• Huygens' principle in Minkowski spaces and soliton solutions of the Korteweg-de Vries equation
• Multidimensional Baker-Akhiezer functions and Huygens' principle
• New integrable generalizations of Calogero–Moser quantum problem
• Exchange operator formalism for integrable systems of particles

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