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In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
We investigate the symmetry algebras of integrable spin Calogero systems con- structed from Dunkl operators associated to finite Coxeter groups.. Based on two explicit examples, we
[18] Trim`eche K., The Dunkl intertwining operator on spaces of functions and distributions and integral repre- sentation of its dual,
[1] Bender C.M., Boettcher S., Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Dorey P., Dunning C., Tateo R., Supersymmetry and the spontaneous breakdown of
(See also a different approach in the unpublished manuscript [ 7 ].) For a Poisson manifold, the modular class coincides up to a factor 2 with the modular class of its cotangent
Using the extended phase space formula- tion of quantum mechanics [ 11 , 12 , 13 ], Nasiri [ 9 ] has shown that in the Wigner representation of phase space quantum mechanics [ 14 ]
Key words: quantum hall effect; non-anti-commutative geometry; supersymmetry; Hopf map; Landau problem; Chern–Simons theory; charge-flux duality.. 2000 Mathematics
This conjecture states that the tangent isomorphism on homology, between the Poisson homology associated to a Poisson structure on R d and the Hochschild homology of its
