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Mathematics


Physics - New findings in physics described by I.M. Burban and co-researchers

  2010 AUG 31 - (VerticalNews.com) -- "In this paper we study the Arik-Coon oscillator with the main relation aa(+) - qa(+)a = 1, where q> 1, in the framework of the unified (q; alpha, beta, gamma; nu)-deformed oscillator algebra," investigators in Kiev, Ukraine report.

  "This oscillator is connected with the Askey q(-1)-Hermite polynomials. We construct a family of the generalized coherent states associated with these polynomials and give their explicit expression in terms of standard special functions," wrote I.M. Burban and colleagues ...read more


Physics - Studies from University of Bucharest yield new data on physics

  2010 AUG 31 - (VerticalNews.com) -- "It is known that the anti-Wick (or standard coherent state) quantization of the complex plane produces both canonical commutation rule and quantum spectrum of the harmonic oscillator (up to the addition of a constant). In this work, we show that these two issues are not necessarily coupled: there exists a family of separable Hilbert spaces, including the usual Fock-Bargmann space, and in each element in this family there exists an overcomplete set of unit-norm states resolving the unity," investigators in Bucharest, Romania report ...read more


Physics - Research from University of Granada has provided new data on physics

  2010 AUG 31 - (VerticalNews.com) -- According to recent research published in the Journal of Physics a - Mathematical and Theoretical, "The information-theoretic lengths of the Jacobi polynomials P-n((alpha,beta)) (x), which are information-theoretic measures (Renyi, Shannon and Fisher) of their associated Rakhmanov probability density, are investigated. They quantify the spreading of the polynomials along the orthogonality interval [-1, 1] in a complementary but different way as the root-mean-square or standard deviation because, contrary to this measure, they do not refer to any specific point of the interval. ...read more


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