8,838 research outputs found
-Deformed quantum and classical mechanics for a system with position-dependent effective mass
We present the quantum and classical mechanics formalisms for a particle with
position-dependent mass in the context of a deformed algebraic structure (named
-algebra), motivated by the Kappa-statistics. From this structure we
obtain deformed versions of the position and momentum operators, which allow to
define a point canonical transformation that maps a particle with constant mass
in a deformed space into a particle with position-dependent mass in the
standard space. We illustrate the formalism with a particle confined in an
infinite potential well and the Mathews-Lakshmanan oscillator, exhibiting
uncertainty relations depending on the deformation
Studies of transport coefficients in charged AdS black holes on -deformed space
In this work, we study the effect of -deformed space on the
thermodynamic quantities, this are find through the holographic renormalization
that provide the free energy, which is fundamental to derive the another
thermodynamic quantities. For this scenario we consider an charged AdS
black hole for an Einstein-Maxwell model where the derivative quadrivector is
replaced by a deformed version inspired in Kaniadakis statistics. Besides, we
extract the transport coefficient know as electrical conductivity.Comment: 5 pages, 8 figure
Hierarchical Spatial Organization of Geographical Networks
In this work we propose the use of a hirarchical extension of the
polygonality index as a means to characterize and model geographical networks:
each node is associated with the spatial position of the nodes, while the edges
of the network are defined by progressive connectivity adjacencies. Through the
analysis of such networks, while relating its topological and geometrical
properties, it is possible to obtain important indications about the
development dynamics of the networks under analysis. The potential of the
methodology is illustrated with respect to synthetic geographical networks.Comment: 3 page, 3 figures. A wokring manuscript: suggestions welcome
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