3,867 research outputs found
Family nonuniversal Z-prime and b to s Gamma decay
We have calculated the branching ratio and CP asymmetry of B-->X_s +gamma
decay within the family--nonuniversal Z' models. We have established certain
bounds on the model parameters using the present experimental bounds. We also
comment on the role of family--nonuniversality in the hadronic decay modes of
the B meson.Comment: 15 pages, 2 figure
Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field
In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov
equation with a strong magnetic field. This consists in writing the solution of
this equation as a sum of two oscillating functions with circonscribed
oscillations. The first of these functions has a shape which is close to the
shape of the Two-Scale limit of the solution and the second one is a correction
built to offset this imposed shape. The aim of such a decomposition is to be
the starting point for the construction of Two-Scale Asymptotic-Preserving
Schemes.Comment: Mathematical Models and Methods in Applied Sciences 00, 00 (2012) 1
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Some Inequalities in 2-inner Product Spaces
In this paper we extend some results on the refinement of Cauchy-Buniakowski-Schwarz's inequality and Aćzel's inequality in inner product spaces to 2-inner product spaces
On Some GrĂĽss Type Inequality in 2-Inner Product Spaces and Applications
In this paper, we shall give a generalization of the GrĂĽss type inequality and obtain some applications of the GrĂĽss type inequality in terms of 2-inner product spaces
New exact solution of the one dimensional Dirac Equation for the Woods-Saxon potential within the effective mass case
We study the one-dimensional Dirac equation in the framework of a position
dependent mass under the action of a Woods-Saxon external potential. We find
that constraining appropriately the mass function it is possible to obtain a
solution of the problem in terms of the hypergeometric function. The mass
function for which this turns out to be possible is continuous. In particular
we study the scattering problem and derive exact expressions for the reflection
and transmission coefficients which are compared to those of the constant mass
case. For the very same mass function the bound state problem is also solved,
providing a transcendental equation for the energy eigenvalues which is solved
numerically.Comment: Version to match the one which has been accepted for publication by
J. Phys. A: Math. Theor. Added one figure, several comments and few
references. (24 pages and 7 figures
Bound States of the Klein-Gordon Equation for Woods-Saxon Potential With Position Dependent Mass
The effective mass Klein-Gordon equation in one dimension for the Woods-Saxon
potential is solved by using the Nikiforov-Uvarov method. Energy eigenvalues
and the corresponding eigenfunctions are computed. Results are also given for
the constant mass case.Comment: 13 page
Scattering states of a particle, with position-dependent mass, in a symmetric heterojunction
The study of a particle with position-dependent effective mass (pdem), within
a double heterojunction is extended into the complex domain --- when the region
within the heterojunctions is described by a non Hermitian
symmetric potential. After obtaining the exact analytical solutions, the
reflection and transmission coefficients are calculated, and plotted as a
function of the energy. It is observed that at least two of the characteristic
features of non Hermitian symmetric systems --- viz., left / right
asymmetry and anomalous behaviour at spectral singularity, are preserved even
in the presence of pdem. The possibility of charge conservation is also
discussed.Comment: 12 pages, including 6 figures; Journal of Physics A : Math. Theor.
(2012
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