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Exact Yangian symmetry in the classical EulerCalogeroMoser
, 1994
"... We compute the rmatrix for the elliptic EulerCalogeroMoser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 9403 ..."
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Cited by 9 (1 self)
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We compute the rmatrix for the elliptic EulerCalogeroMoser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 9403
The rmatrix structure of the EulerCalogeroMoser model
, 1993
"... We construct the rmatrix for the generalization of the CalogeroMoser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the rmatrix for the O(N) EulerCalogeroMoser model and for the standard AN CalogeroMoser model. ..."
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Cited by 18 (2 self)
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We construct the rmatrix for the generalization of the CalogeroMoser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the rmatrix for the O(N) EulerCalogeroMoser model and for the standard AN CalogeroMoser model.
Strongly Elliptic Systems and Boundary Integral Equations
, 2000
"... Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematic ..."
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Cited by 501 (0 self)
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Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition
Observable Algebras for the Rational and Trigonometric EulerCalogeroMoser Models
, 1994
"... We construct polynomial Poisson algebras of observables for the classical EulerCalogeroMoser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, N → ∞ limits, realizing W ∞ type algebras coupled to curren ..."
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Cited by 2 (0 self)
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We construct polynomial Poisson algebras of observables for the classical EulerCalogeroMoser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, N → ∞ limits, realizing W ∞ type algebras coupled
IdentityBased Encryption from the Weil Pairing
, 2001
"... We propose a fully functional identitybased encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational DiffieHellman problem. Our system is based on bilinear maps between groups. The Weil pairing on elliptic ..."
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Cited by 1748 (28 self)
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We propose a fully functional identitybased encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational DiffieHellman problem. Our system is based on bilinear maps between groups. The Weil pairing
On the eigenstates of the elliptic CalogeroMoser model
 Lett. Math. Phys
, 2000
"... Abstract. It is known that the trigonometric CalogeroSutherland model is obtained by the trigonometric limit (τ → √ −1∞) of the elliptic CalogeroMoser model, where (1, τ) is a basic period of the elliptic function. We show that for all squareintegrable eigenstates and eigenvalues of the Hamilton ..."
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Cited by 4 (3 self)
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Abstract. It is known that the trigonometric CalogeroSutherland model is obtained by the trigonometric limit (τ → √ −1∞) of the elliptic CalogeroMoser model, where (1, τ) is a basic period of the elliptic function. We show that for all squareintegrable eigenstates and eigenvalues
Universality of CalogeroMoser model
, 2004
"... In this review we explain interrelations between the Elliptic CalogeroMoser model, integrable Elliptic EulerArnold top, monodromy preserving equations and the KnizhnikZamolodchikovBernard equation on a torus. ..."
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Cited by 1 (0 self)
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In this review we explain interrelations between the Elliptic CalogeroMoser model, integrable Elliptic EulerArnold top, monodromy preserving equations and the KnizhnikZamolodchikovBernard equation on a torus.
On the twogap locus for the elliptic CalogeroMoser model
, 1994
"... We give an analytical description of the locus of the twogap elliptic potentials associated with the corresponding flow of the Calogero– Moser system. We start with the description of Treibich–Verdier two– gap elliptic potentials. The explicit formulae for the covers, wave functions and Lamé polyno ..."
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Cited by 15 (4 self)
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We give an analytical description of the locus of the twogap elliptic potentials associated with the corresponding flow of the Calogero– Moser system. We start with the description of Treibich–Verdier two– gap elliptic potentials. The explicit formulae for the covers, wave functions and Lamé
CalogeroMoser Models III: Elliptic potentials and twisting
, 1999
"... Universal Lax pairs of the root type with spectral parameter and independent coupling constants for twisted nonsimply laced CalogeroMoser models are constructed. Together with the Lax pairs for the simply laced models and untwisted nonsimply laced models presented in two previous papers, this com ..."
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Cited by 9 (0 self)
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Universal Lax pairs of the root type with spectral parameter and independent coupling constants for twisted nonsimply laced CalogeroMoser models are constructed. Together with the Lax pairs for the simply laced models and untwisted nonsimply laced models presented in two previous papers
Results 1  10
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5,068