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arxiv: 1509.09080 · v1 · pith:VTTTFXWTnew · submitted 2015-09-30 · 🧮 math.AP

On the high frequency limit of the LLL equation

Pierre Germain (CIMS) , Laurent Thomann (IECL) This is my paper
classification 🧮 math.AP
keywords equationfrequencyhighderivedynamicsgoverningheuristicallyintegro-differential
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We derive heuristically an integro-differential equation, as well as a shell model, governing the dynamics of the Lowest Landau Level equation in a high frequency regime.

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    The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.