清晰 发表于 2025-3-25 04:52:34

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MAIZE 发表于 2025-3-25 09:18:18

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TAG 发表于 2025-3-25 12:30:24

,Polynomial Eigenfunctions of the Calogero—Sutherland—Moser Models with Exchange Terms,ormalization of Jack polynomials with prescribed symmetry (i.e., eigenfunctions that can be chosen to be symmetric or antisymmetric in certain variables) are given. In addition Macdonald polynomials of prescribed symmetry are considered, and it is shown that factorization can be achieved in certain cases.

opalescence 发表于 2025-3-25 18:49:12

Canonical Forms for the ,-Invariant Tensors,d ... It is proved that the characteristic polynomial of any C-invariant (1, 1) tensor .. is a perfect square; therefore, its eigenvalues have even multiplicities. Any .-invariant metric .. is indefinite and has signature σ ≤ ..

judiciousness 发表于 2025-3-25 20:40:04

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Scleroderma 发表于 2025-3-26 01:50:26

Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations,ecial inverse problem for linear operators with elliptic coefficients. Hamiltonian theory of such systems is developed with the help of universal symplectic structure proposed by D. H. Phong and the author. Canonically conjugated variables for spin generalizations of the elliptic CM and RS systems are found.

aggressor 发表于 2025-3-26 06:09:16

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旧式步枪 发表于 2025-3-26 11:53:47

CRM Series in Mathematical Physicshttp://image.papertrans.cn/c/image/220934.jpg

外星人 发表于 2025-3-26 16:24:00

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allude 发表于 2025-3-26 18:53:33

Michael W. Miller,Richard T. Robertsonr excited states (Jack and Macdonald polynomials) of these models, their relations with the Virasoro singular vectors and its .-analog and obtain free boson realization for level one elliptic affine Lie algebra.
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查看完整版本: Titlebook: Calogero—Moser— Sutherland Models; Jan Felipe Diejen,Luc Vinet Book 2000 Springer Science+Business Media New York 2000 Potential.chaos.dif