CCTV-Aided Accident Detection System on Four Lane Highway with Calogero-Moser System
نویسندگان
چکیده
منابع مشابه
Hidden symmetry of the quantum Calogero-Moser system
Hidden symmetry of the quantum Calogero-Moser system with the inverse-square potential is explicitly demonstrated in algebraic sense. We find the underlying algebra explaining the super-integrability phenomenon for this system. Applications to related multi-variable Bessel functions are also discussed.
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It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties of the usual CMS operators for infinite number of particles. The ideals of these varieties are shown to be generated by the Jack symmetric functions related to the Young diagrams with special geometry. Combinatorial formulas for the related super-Jack and s...
متن کاملMirabolic Langlands Duality and the Quantum Calogero-moser System
We give a generic spectral decomposition of the derived category of twisted D-modules on a moduli stack of mirabolic vector bundles on a curve X in characteristic p: that is, we construct an equivalence with the derived category of quasi-coherent sheaves on a moduli stack of mirabolic local systems on X. This equivalence may be understood as a tamely ramified form of the geometric Langlands equ...
متن کاملSklyanin Bracket and Deformation of the Calogero-Moser System
A two-dimensional integrable system being a deformation of the rational CalogeroMoser system is constructed via the symplectic reduction, performed with respect to the Sklyanin algebra action. We explicitly resolve the respective classical equations of motion via the projection method and quantize the system.
متن کاملSymplectic reflection algebras , Calogero - Moser system , and deformed
To any finite group Γ ⊂ Sp(V ) of automorphisms of a symplectic vector space V we associate a new multi-parameter deformation, Hκ, of the algebra C[V ]#Γ, smash product of Γ with the polynomial algebra on V . The parameter κ runs over points of CP , where r =number of conjugacy classes of symplectic reflections in Γ. The algebra Hκ, called a symplectic reflection algebra, is expected to be rela...
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ژورنال
عنوان ژورنال: The Journal of Korean Institute of Communications and Information Sciences
سال: 2014
ISSN: 1226-4717
DOI: 10.7840/kics.2014.39c.3.255