141,818 research outputs found
Infinite Order Differential Operators in Spaces of Entire Functions
We study infinite order differential operators acting in the spaces of
exponential type entire functions. We derive conditions under which such
operators preserve the set of Laguerre entire functions which consists of the
polynomials possessing real nonpositive zeros only and of their uniform limits
on compact subsets of the complex plane. We obtain integral representations of
some particular cases of these operators and apply these results to obtain
explicit solutions to some Cauchy problems for diffusion equations with
nonconstant drift term
Quasitriangularity and enveloping algebras for inhomogeneous quantum groups
Coquasitriangular universal matrices on quantum Lorentz and
quantum Poincar\'e groups are classified. The results extend (under certain
assumptions) to inhomogeneous quantum groups of [10]. Enveloping algebras on
those objects are described.Comment: 18 pages, LaTeX file, minor change
The Dirac operator and gamma matrices for quantum Minkowski spaces
Gamma matrices for quantum Minkowski spaces are found. The invariance of the
corresponding Dirac operator is proven. We introduce momenta for spin 1/2
particles and get (in certain cases) formal solutions of the Dirac equation.Comment: 25 pages, LaTeX fil
The Deuteron Spin Structure Functions in the Bethe-Salpeter Approach and the Extraction of the Neutron Structure Function
The nuclear effects in the spin-dependent structure functions and
are calculated in the relativistic approach based on the Bethe-Salpeter
equation with a realistic meson-exchange potential.
The results of calculations are compared with the non-relativistic
calculations. The problem of extraction of the neutron spin structure function,
, from the deuteron data is discussed.Comment: (Talk given at the SPIN'94 International Symposium, September 15-22,
1994, Bloomington, Indiana), 6 pages, 5 figures, Preprint Alberta Thy 29-9
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