1,995 research outputs found
SUSY approach to Pauli Hamiltonians with an axial symmetry
A two-dimensional Pauli Hamiltonian describing the interaction of a neutral
spin-1/2 particle with a magnetic field having axial and second order
symmetries, is considered. After separation of variables, the one-dimensional
matrix Hamiltonian is analyzed from the point of view of supersymmetric quantum
mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and
also to the Hamiltonian hierarchies generated by intertwining operators. The
spectrum is studied by means of the associated matrix shape-invariance. The
relation between the intertwining operators and the second order symmetries is
established and the full set of ladder operators that complete the dynamical
algebra is constructed.Comment: 18 pages, 3 figure
The su(1,1) dynamical algebra from the Schr\"odinger ladder operators for N-dimensional systems: hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator
We apply the Schr\"odinger factorization to construct the ladder operators
for hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic
oscillator in arbitrary dimensions. By generalizing these operators we show
that the dynamical algebra for these problems is the Lie algebra.Comment: 10 page
Thermal Casimir effect for neutrino and electromagnetic fields in closed Friedmann cosmological model
We calculate the total internal energy, total energy density and pressure,
and the free energy for the neutrino and electromagnetic fields in Einstein and
closed Friedmann cosmological models. The Casimir contributions to all these
quantities are separated. The asymptotic expressions for both the total
internal energy and free energy, and for the Casimir contributions to them are
found in the limiting cases of low and high temperatures. It is shown that the
neutrino field does not possess a classical limit at high temperature. As for
the electromagnetic field, we demonstrate that the total internal energy has
the classical contribution and the Casimir internal energy goes to the
classical limit at high temperature. The respective Casimir free energy
contains both linear and logarithmic terms with respect to the temperature. The
total and Casimir entropies for the neutrino and electromagnetic fields at low
temperature are also calculated and shown to be in agreement with the Nernst
heat theorem.Comment: 23 pages, to appear in Phys. Rev.
su(1,1) Algebraic approach of the Dirac equation with Coulomb-type scalar and vector potentials in D + 1 dimensions
We study the Dirac equation with Coulomb-type vector and scalar potentials in
D + 1 dimensions from an su(1, 1) algebraic approach. The generators of this
algebra are constructed by using the Schr\"odinger factorization. The theory of
unitary representations for the su(1, 1) Lie algebra allows us to obtain the
energy spectrum and the supersymmetric ground state. For the cases where there
exists either scalar or vector potential our results are reduced to those
obtained by analytical techniques
Ellipsoidal configurations in the de Sitter spacetime
The cosmological constant modifies certain properties of large
astrophysical rotating configurations with ellipsoidal geometries, provided the
objects are not too compact. Assuming an equilibrium configuration and so using
the tensor virial equation with we explore several equilibrium
properties of homogeneous rotating ellipsoids. One shows that the bifurcation
point, which in the oblate case distinguishes the Maclaurin ellipsoid from the
Jacobi ellipsoid, is sensitive to the cosmological constant. Adding to that,
the cosmological constant allows triaxial configurations of equilibrium
rotating the minor axis as solutions of the virial equations. The significance
of the result lies in the fact that minor axis rotation is indeed found in
nature. Being impossible for the oblate case, it is permissible for prolate
geometries, with zero and positive. For the triaxial case, however,
an equilibrium solution is found only for non-zero positive . Finally,
we solve the tensor virial equation for the angular velocity and display
special effects of the cosmological constant there.Comment: 15 pages, 11 figures, published in Class. Quant. Grav. References
adde
Neutron-Proton Differential Flow as a Probe of Isospin-Dependence of Nuclear Equation of State
The neutron-proton differential flow is shown to be a very useful probe of
the isospin-dependence of the nuclear equation of state (EOS). This novel
approach utilizes constructively both the isospin fractionation and the nuclear
collective flow as well as their sensitivities to the isospin-dependence of the
nuclear EOS. It also avoids effectively uncertainties associated with other
dynamical ingredients of heavy-ion reactions at intermediate energies.Comment: 10 pages + 3 figures. Phys. Rev. Lett. (2000) in pres
Kinetic equation approach to diffusive superconducting hybrid devices
We present calculations of the temperature-dependent electrostatic and
chemical potential distributions in disordered normal metal-superconductor
structures. We show that they differ appreciably in the presence of a
superconducting terminal and propose an experiment to measure these two
different potential distributions. We also compute the resistance change in
these structures due to a recently proposed mechanism which causes a finite
effect at zero temperature. The relative resistance change due to this effect
is of the order of the interaction parameter in the normal metal. Finally a
detailed calculation of the resistance change due to the temperature dependence
of Andreev reflection in diffusive systems is presented. We find that the
maximal magnitude due to this thermal effect is in general much larger than the
magnitude of the novel effect.Comment: 11 pages LaTeX including 8 Postscript figures. A copy of the file is
also available at http://www.tn.tudelft.nl/tn/thssci.htm
String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
The Gauss-Bonnet (GB) curvature invariant coupled to a scalar field
can lead to an exit from a scaling matter-dominated epoch to a late-time
accelerated expansion, which is attractive to alleviate the coincident problem
of dark energy. We derive the condition for the existence of cosmological
scaling solutions in the presence of the GB coupling for a general scalar-field
Lagrangian density , where is a kinematic
term of the scalar field. The GB coupling and the Lagrangian density are
restricted to be in the form and , respectively, where is a constant and is an
arbitrary function. We also derive fixed points for such a scaling Lagrangian
with a GB coupling and clarify the conditions
under which the scaling matter era is followed by a de-Sitter solution which
can appear in the presence of the GB coupling. Among scaling models proposed in
the current literature, we find that the models which allow such a cosmological
evolution are an ordinary scalar field with an exponential potential and a
tachyon field with an inverse square potential, although the latter requires a
coupling between dark energy and dark matter.Comment: 18 pages, 4 figures, version to appear in JCA
Casimir Effect in closed spaces
As it is well known the topology of space is not totally determined by
Einstein's equations. It is considered a massless scalar quantum field in a
static Euclidean space of dimension 3. The expectation value for the energy
density in all compact orientable Euclidean 3-spaces are obtained in this work
as a finite summation of Epstein type zeta functions. The Casimir energy
density for these particular manifolds is independent of the type of coupling
with curvature. A numerical plot of the result inside each Dirichlet region is
obtained.Comment: Version accepted for publication. The most general coupling with
curvature is chose
Isospin Physics in Heavy-Ion Collisions at Intermediate Energies
In nuclear collisions induced by stable or radioactive neutron-rich nuclei a
transient state of nuclear matter with an appreciable isospin asymmetry as well
as thermal and compressional excitation can be created. This offers the
possibility to study the properties of nuclear matter in the region between
symmetric nuclear matter and pure neutron matter. In this review, we discuss
recent theoretical studies of the equation of state of isospin-asymmetric
nuclear matter and its relations to the properties of neutron stars and
radioactive nuclei. Chemical and mechanical instabilities as well as the
liquid-gas phase transition in asymmetric nuclear matter are investigated. The
in-medium nucleon-nucleon cross sections at different isospin states are
reviewed as they affect significantly the dynamics of heavy ion collisions
induced by radioactive beams. We then discuss an isospin-dependent transport
model, which includes different mean-field potentials and cross sections for
the proton and neutron, and its application to these reactions. Furthermore, we
review the comparisons between theoretical predictions and available
experimental data. In particular, we discuss the study of nuclear stopping in
terms of isospin equilibration, the dependence of nuclear collective flow and
balance energy on the isospin-dependent nuclear equation of state and cross
sections, the isospin dependence of total nuclear reaction cross sections, and
the role of isospin in preequilibrium nucleon emissions and subthreshold pion
production.Comment: 101 pages with embedded epsf figures, review article for
"International Journal of Modern Physics E: Nuclear Physics". Send request
for a hard copy to 1/author
- …