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A completely integrable Hamiltonian system
Journal of Mathematical Physics, 1996The dynamical system characterized by the Hamiltonian H(q,p)=∑j,k=1n pjpkf(q dj−qk) with f(x)=λ+μ cos(νx)+μ′ sin(ν‖x‖) is completely integrable. Here n is an arbitrary positive integer and λ,μ,μ′,ν are 4 arbitrary constants (λ and μ real, μ′ and ν both real or both imaginary).
Calogero, F., Françoise, Jean-Pierre
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Quasilinear Hamiltonian systems
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987SynopsisWe consider quasilinear systems of 2N partial differential equations with 2N unknown functions depending on n + 1 variables as evolution systems on the space L2(Rn, RN) × L2(Rns, RN) endowed with a symplectic form induced by the standard scalar product on L2(Rn, RN).
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The Theory of Hamiltonian and Bi-Hamiltonian Systems
1998This chapter is devoted to the standard results of the algebraic theory of bi-Hamiltonian systems, developed during the last two decades. The crucial concepts like the one of the recursion operator introduced by Olver [158], the bi-Hamiltonian property formulated by Magri [123] as well as the hereditary property introduced by Fuchssteiner [82] gave a ...
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Halide perovskites enable polaritonic XY spin Hamiltonian at room temperature
Nature Materials, 2022Louis Haeberlé, , Dafei Jin
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Floquet Hamiltonian engineering of an isolated many-body spin system
Science, 2021Sebastian Geier +2 more
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The resolvent and Hamiltonian systems
Functional Analysis and Its Applications, 1977L. A. Dikii, I. M. Gel'fand
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Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Living Reviews in Relativity, 2018Piotr Jaranowski
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Symmetrizable and Hamiltonian systems
Siberian Mathematical Journal, 1980S. M. Vishik, A. M. Obukhov
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