2,133,049 research outputs found
Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice
We complete the construction of raising and lowering operators, given in a
previous work, for the orthogonal polynomials of hypergeometric type on
non-homogeneous lattice, and extend these operators to the generalized
orthogonal polynomials, namely, those difference of orthogonal polynomials that
satisfy a similar difference equation of hypergeometric type.Comment: LaTeX, 19 pages, (late submission to arXiv.org
Fractional dynamics in the L\'evy quantum kicked rotor
We investigate the quantum kicked rotor in resonance subjected to momentum
measurements with a L\'evy waiting time distribution. We find that the system
has a sub-ballistic behavior. We obtain an analytical expression for the
exponent of the power law of the variance as a function of the characteristic
parameter of the L\'evy distribution and connect this anomalous diffusion with
a fractional dynamics
On the deformation of abelian integrals
We consider the deformation of abelian integrals which arose from the study
of SG form factors. Besides the known properties they are shown to satisfy
Riemann bilinear identity. The deformation of intersection number of cycles on
hyperelliptic curve is introduced.Comment: 8 pages, AMSTE
Phase structure of the two-fluid proton-neutron system
The phase structure of a two-fluid bosonic system is investigated. The
proton-neutron interacting boson model (IBM-2) posesses a rich phase structure
involving three control parameters and multiple order parameters. The surfaces
of quantum phase transition between spherical, axially-symmetric deformed, and
SU*(3) triaxial phases are determined.Comment: RevTeX 4, 4 pages, as published in Phys. Rev. Let
Large-angle non-Gaussianity in simulated high-resolution CMB maps
A detection or nondetection of primordial non-Gaussianity by using the cosmic
microwave background radiation (CMB) offers a way of discriminating
inflationary scenarios and testing alternative models of the early universe.
This has motivated the considerable effort that has recently gone into the
study of theoretical features of primordial non-Gaussianity and its detection
in CMB data. Among such attempts to detect non-Gaussianity, there is a
procedure that is based upon two indicators constructed from the skewness and
kurtosis of large-angle patches of CMB maps, which have been proposed and used
to study deviation from Gaussianity in the WMAP data. Simulated CMB maps
equipped with realistic primordial non-Gaussianity are essential tools to test
the viability of non-Gaussian indicators in practice, and also to understand
the effect of systematics, foregrounds and other contaminants. In this work we
extend and complement the results of our previous works by performing an
analysis of non-Gaussianity of the high-angular resolution simulated CMB
temperature maps endowed with non-Gaussianity of the local type, for which the
level of non-Gaussianity is characterized by the dimensionless parameter
Comment: 8 pages, 3 figure
Nonlocal Cooper pair Splitting in a pSn Junction
Perfect Cooper pair splitting is proposed, based on crossed Andreev
reflection (CAR) in a p-type semiconductor - superconductor - n-type
semiconductor (pSn) junction. The ideal splitting is caused by the energy
filtering that is enforced by the bandstructure of the electrodes. The pSn
junction is modeled by the Bogoliubov-de Gennes equations and an extension of
the Blonder-Tinkham-Klapwijk theory beyond the Andreev approximation. Despite a
large momentum mismatch, the CAR current is predicted to be large. The proposed
straightforward experimental design and the 100% degree of pureness of the
nonlocal current open the way to pSn structures as high quality sources of
entanglement
- …