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59 papers · 1 filter
Heisenberg Algebra, Umbral Calculus and Orthogonal Polynomials
G. Dattoli, D. Levi, P. Winternitz
Umbral calculus can be viewed as an abstract theory of the Heisenberg commutation relation . In ordinary quantum mechanics is the derivative and $\hat M…
Spiral inflow feeding the nuclear starburst in M83, observed in H-alpha emission with the GHAFAS Fabry-Perot interferometer
Kambiz Fathi, John E. Beckman, Andreas A. Lundgren +8
We present observations of the nearby barred starburst galaxy, M83 (NGC5236), with the new Fabry-Perot interferometer GHAFAS mounted on the 4.2 meter William Herschel Telescope on…
Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
Luc Vinet, Alexei Zhedanov
Assume that there is a set of monic polynomials satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = λ_n P_n(z(s)), n=…
Twisted spin Sutherland models from quantum Hamiltonian reduction
L. Feher, B. G. Pusztai
Recent general results on Hamiltonian reductions under polar group actions are applied to study some reductions of the free particle governed by the Laplace-Beltrami operator of a…
Rare White dwarf stars with carbon atmospheres
P. Dufour, James Liebert, G. Fontaine +1
White dwarfs represent the endpoint of stellar evolution for stars with initial masses between approximately 0.07 msun and 8-10 msun, where msun is the mass of the Sun (more massiv…
A bound for the "torsion conductor" of a non-CM elliptic curve
Nathan Jones
Given a non-CM elliptic curve E over Q, define the ``torsion conductor'' m_E to be the smallest positive integer so that the Galois representation on the torsion of E has image Pi^…