44,486 research outputs found
Mixing solutions for the Muskat problem
We prove the existence of mixing solutions of the incompressible porous media
equation for all Muskat type initial data in the fully unstable regime.Comment: 88 pages, 2 figure
Unstable particles versus resonances in impurity systems, conductance in quantum wires
We compute the DC conductance for a homogeneous sine-Gordon model and an
impurity system of Luttinger liquid type by means of the thermodynamic Bethe
ansatz and standard potential scattering theory. We demonstrate that unstable
particles and resonances in impurity systems lead to a sharp increase of the
conductance as a function of the temperature, which is characterized by the
Breit-Wigner formula.Comment: 5 pages Latex, 1 figure replaced, version to appear in J. Phys.
Entanglement of two-qubit photon beam by magnetic field
We have studied the possibility of affecting the entanglement measure of
2-qubit system consisting of two photons with different fixed frequencies but
with two arbitrary linear polarizations, moving in the same direction, by the
help of an applied external magnetic field. The interaction between the
magnetic field and the photons in our model is achieved through intermediate
electrons that interact with both the photons and the magnetic field. The
possibility of exact theoretical analysis of this scheme is based on known
exact solutions that describe the interaction of an electron subjected to an
external magnetic field (or a medium of electrons not interacting with each
other) with a quantized field of two photons. We adapt these exact solutions to
the case under consideration. Using explicit wave functions for the resulting
electromagnetic field, we calculate the entanglement measure of the photon beam
as a function of the applied magnetic field and parameters of the electron
medium
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
The problem of spin-0 and spin-1 bosons in the background of a general mixing
of minimal and nonminimal vector inversely linear potentials is explored in a
unified way in the context of the Duffin-Kemmer-Petiau theory. It is shown that
spin-0 and spin-1 bosons behave effectively in the same way. An orthogonality
criterion is set up and it is used to determine uniquely the set of solutions
as well as to show that even-parity solutions do not exist.Comment: 10 page
Superconducting states of pure and doped graphene
We study the superconducting phases of the two-dimensional honeycomb lattice
of graphene. We find two spin singlet pairing states, s-wave and an exotic
that is possible because of the special structure of the honeycomb
lattice. At half filling, the phase is gapless and superconductivity is
a hidden order. We discuss the possibility of a superconducting state in metal
coated graphene.Comment: 4 pages, 6 figure
Science with the World Space Observatory - Ultraviolet
The World Space Observatory-Ultraviolet (WSO-UV) will provide access to the
UV range during the next decade. The instrumentation on board will allow to
carry out high resolution imaging, high sensitivity imaging, high resolution
(R~55000) spectroscopy and low resolution (R~2500) long slit spectroscopy. In
this contribution, we briefly outline some of the key science issues that
WSO-UV will address during its lifetime. Among them, of special interest are:
the study of galaxy formation and the intergalactic medium; the astronomical
engines; the Milky Way formation and evol ution, and the formation of the Solar
System and the atmospheres of extrasolar p lanets.Comment: Just one text file (aigomezdecastro.tex). To be published in the
proceeding of the conference: "New Quest in Stellar Astrophysics II: UV
properties of evolved stellar populations" held in Puerto Vallarta - Mexico,
in april 200
Comment on "Relativistic extension of shape-invariant potentials"
This comment directs attention to some fails of the Alhaidari approach to
solve relativistic problems. It is shown that his gauge considerations are way
off the mark and that the class of exactly solvable relativistic problems is
not so enlarged as Alhaidari thinks it is
Coulomb blockade in graphene nanoribbons
We propose that recent transport experiments revealing the existence of an
energy gap in graphene nanoribbons may be understood in terms of Coulomb
blockade. Electron interactions play a decisive role at the quantum dots which
form due to the presence of necks arising from the roughness of the graphene
edge. With the average transmission as the only fitting parameter, our theory
shows good agreement with the experimental data.Comment: 4 pages, 2 figure
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