refraction
发表于 2025-3-26 23:56:07
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AMPLE
发表于 2025-3-27 04:15:46
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Lament
发表于 2025-3-27 08:31:26
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Hot-Flash
发表于 2025-3-27 12:32:02
Lectures on Integrable Systems978-3-540-47274-2Series ISSN 0940-7677
LIEN
发表于 2025-3-27 15:44:56
Classical Integrability of the Calogero-Moser Systems,We have seen that if one defines an . × . matrix . as . one can write the equations of motion belonging to . in the form . where . is given by
Meander
发表于 2025-3-27 20:32:24
Algebraic Approach to ,, + ,/,, Interactions,Consider . Let us recall the situation for α = 0: . Without taking into account the boundary condition at 0, the eigenfunctions are . where the ..(.) are Hermite polynomials. Because of the boundary condition φ(0) = 0 only odd . (= 2. + 1) are allowed:
Mercantile
发表于 2025-3-27 22:42:52
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凝乳
发表于 2025-3-28 05:38:44
The Classical Non-Periodic Toda Lattice,Consider a system of . particles whose dynamics is governed by . (note that any interaction of the form . with . . > 0 leads to (6.1) by rescaling and shifting . . and .).
mitten
发表于 2025-3-28 08:19:25
Infinite Dimensional Toda Systems,Let us now use . → ∞ limits of gl(., ℂ) in the context of a concrete physical model, the periodic Toda chain:
Catheter
发表于 2025-3-28 13:29:33
Differential Lax Operators,Instead of considering Lax pairs of infinite dimensional matrices (implying specific basis in vector spaces of countable dimension) one often looks at Lax equations . where . and . are differential operators of order . and ., respectively,