10,688 research outputs found
Barotropic FRW cosmologies with a Dirac-like parameter
Using the known connection between Schroedinger-like equations and Dirac-like
equations in the supersymmetric context, we discuss an extension of FRW
barotropic cosmologies in which a Dirac mass-like parameter is introduced. New
Hubble cosmological parameters H_K(eta) depending on the Dirac-like parameter
are plotted and compared with the standard Hubble case H_0(eta). The new
H_K(eta) are complex quantities. The imaginary part is a supersymmetric way of
introducing dissipation and instabilities in the barotropic FRW hydrodynamicsComment: 7 pages, 4 figures, accepted at MPL
Negative Net Incomes and the Measurement of Poverty: A Note
This note warns about the careless computation of poverty indexes when the welfare of each household is measured by its net income, since this can be negative. As is illustrated in the case of Mexico, even if only a handful of households report negative incomes, the resulting poverty aggregates, when they go beyond a mere headcount measure, can behave rather badly. The note ends with suggestions on how to deal with the problem.Poverty measures, poverty indexes, negative income, income and expenditure survey, Mexico
Riccati nonhermiticity with application to the Morse potential
A supersymmetric one-dimensional matrix procedure similar to relationships of
the same type between Dirac and Schrodinger equations in particle physics is
described at the general level. By this means we are able to introduce a
nonhermitic Hamiltonian having the imaginary part proportional to the solution
of a Riccati equation of the Witten type. The procedure is applied to the
exactly solvable Morse potential introducing in this way the corresponding
nonhermitic Morse problem. A possible application is to molecular diffraction
in evanescent waves over nanostructured surfacesComment: 8 pages, 4 figure
Classical harmonic oscillator with Dirac-like parameters and possible applications
We obtain a class of parametric oscillation modes that we call K-modes with
damping and absorption that are connected to the classical harmonic oscillator
modes through the "supersymmetric" one-dimensional matrix procedure similar to
relationships of the same type between Dirac and Schroedinger equations in
particle physics. When a single coupling parameter, denoted by K, is used, it
characterizes both the damping and the dissipative features of these modes.
Generalizations to several K parameters are also possible and lead to
analytical results. If the problem is passed to the physical optics (and/or
acoustics) context by switching from the oscillator equation to the
corresponding Helmholtz equation, one may hope to detect the K-modes as
waveguide modes of specially designed waveguides and/or cavitiesComment: 14 pages, 9 figures, revised, accepted at J. Phys.
TIPs for the Analysis of Poverty in Mexico, 1992-2005
This paper proposes some changes to the official methodology that is currently in use to measure the state of poverty in Mexico. Among other suggestions, it is recommended the use of bootstrapping to estimate confidence intervals for the poverty statistics, as well as the use of dominance analysis when making intertemporal comparisons. In particular, since poverty lines change over time, the paper proposes the use of TIP curves for that end. Using the eight surveys that were made during the period 1992-2005, the paper presents a large number of absolute poverty statistics and TIP curves, as well as comparisons among them. One of the findings is the deterioration of the living conditions of the poorest among the poor, about a half million people, with respect to the conditions they endured before the 1994 economic crisis.Poverty, confidence intervals, standard error, bootstrap, resampling, FGT measures, TIP curves, dominance, Mexico
TIPs for the Analysis of Poverty in Mexico, 1992-2005
This paper proposes some changes to the official methodology that is currently in use to measure the state of poverty in Mexico. Among other suggestions, it is recommended the use of bootstrapping to estimate confidence intervals for the poverty statistics, as well as the use of dominance analysis when making intertemporal comparisons. In particular, since poverty lines change over time, the paper proposes the use of TIP curves for that end. Using the eight surveys that were made during the period 1992-2005, the paper presents a large number of absolute poverty statistics and TIP curves, as well as comparisons among them.Poverty, confidence intervals, standard error, bootstrap, resampling, FGT measures, TIP curves, dominance, Mexico
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