10,332 research outputs found
On the approach to equilibrium of an Hamiltonian chain of anharmonic oscillators
In this note we study the approach to equilibrium of a chain of anharmonic
oscillators. We find indications that a sufficiently large system always
relaxes to the usual equilibrium distribution. There is no sign of an
ergodicity threshold. The time however to arrive to equilibrium diverges when
, being the anharmonicity.Comment: 8 pages, 5 figure
Meteoroids: The Smallest Solar System Bodies
This volume is a compilation of articles reflecting the current state of knowledge on the physics, chemistry, astronomy, and aeronomy of small bodies in the solar system. The articles included here represent the most recent results in meteor, meteoroid, and related research fields and were presented May 24-28, 2010, in Breckenridge, Colorado, USA at Meteoroids 2010: An International Conference on Minor Bodies in the Solar System
Exciton and Carrier Dynamics in 2D Perovskites
Two-dimensional Ruddlesden-Popper hybrid lead halide perovskites have become
a major topic in perovskite optoelectronics. Here, we aim to unravel the
ultrafast dynamics governing the evolution of charge carriers and excitons in
these materials. Using a combination of ultrabroadband time-resolved THz (TRTS)
and fluorescence upconversion spectroscopies, we find that sequential carrier
cooling and exciton formation best explain the observed dynamics, where
exciton-exciton interactions play an important role in the form of Auger
heating and biexciton formation. We show that the presence of a longer-lived
population of carriers is due to these processes and not to a Mott transition.
Therefore, excitons still dominate at laser excitation densities. We use
kinetic modeling to compare the phenethylammonium and butylammonium organic
cations while investigating the stability of the resulting films. In addition,
we demonstrate the capability of using ultrabroadband TRTS to study excitons in
large binding energy semiconductors through spectral analysis at room
temperature
Generalization of a result of Matsuo and Cherednik to the Calogero-Sutherland- Moser integrable models with exchange terms
A few years ago, Matsuo and Cherednik proved that from some solutions of the
Knizhnik-Zamolodchikov (KZ) equations, which first appeared in conformal field
theory, one can obtain wave functions for the Calogero integrable system. In
the present communication, it is shown that from some solutions of generalized
KZ equations, one can construct wave functions, characterized by any given
permutational symmetry, for some Calogero-Sutherland-Moser integrable models
with exchange terms. Such models include the spin generalizations of the
original Calogero and Sutherland ones, as well as that with -function
interaction.Comment: Latex, 7 pages, Communication at the 4th Colloquium "Quantum Groups
and Integrable Systems", Prague (June 1995
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
The maximal super-integrability of a discretization of the Calogero--Moser
model introduced by Nijhoff and Pang is presented. An explicit formula for the
additional constants of motion is given.Comment: 7 pages, no figure
Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials
The Ruijsenaars-Schneider systems are `discrete' version of the
Calogero-Moser (C-M) systems in the sense that the momentum operator p appears
in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation
parameter) instead of an ordinary polynomial in p in the hierarchies of C-M
systems. We determine the polynomials describing the equilibrium positions of
the rational and trigonometric Ruijsenaars-Schneider systems based on classical
root systems. These are deformation of the classical orthogonal polynomials,
the Hermite, Laguerre and Jacobi polynomials which describe the equilibrium
positions of the corresponding Calogero and Sutherland systems. The
orthogonality of the original polynomials is inherited by the deformed ones
which satisfy three-term recurrence and certain functional equations. The
latter reduce to the celebrated second order differential equations satisfied
by the classical orthogonal polynomials.Comment: 45 pages. A few typos in section 6 are correcte
Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems
The relationship (resemblance and/or contrast) between quantum and classical
integrability in Ruijsenaars-Schneider systems, which are one parameter
deformation of Calogero-Moser systems, is addressed. Many remarkable properties
of classical Calogero and Sutherland systems (based on any root system) at
equilibrium are reported in a previous paper (Corrigan-Sasaki). For example,
the minimum energies, frequencies of small oscillations and the eigenvalues of
Lax pair matrices at equilibrium are all "integer valued". In this paper we
report that similar features and results hold for the Ruijsenaars-Schneider
type of integrable systems based on the classical root systems.Comment: LaTeX2e with amsfonts 15 pages, no figure
Knizhnik-Zamolodchikov equations and the Calogero-Sutherland-Moser integrable models with exchange terms
It is shown that from some solutions of generalized Knizhnik-Zamolodchikov
equations one can construct eigenfunctions of the Calogero-Sutherland-Moser
Hamiltonians with exchange terms, which are characterized by any given
permutational symmetry under particle exchange. This generalizes some results
previously derived by Matsuo and Cherednik for the ordinary
Calogero-Sutherland-Moser Hamiltonians.Comment: 13 pages, LaTeX, no figures, to be published in J. Phys.
Angle-Resolved Photoemission Spectroscopy of Tetragonal CuO: Evidence for Intralayer Coupling Between Cupratelike Sublattices
We investigate by angle-resolved photoemission the electronic structure of in situ grown tetragonal CuO, a synthetic quasi-two-dimensional edge-sharing cuprate. We show that, in spite of the very different nature of the copper oxide layers, with twice as many Cu in the CuO layers of tetragonal CuO as compared to the CuO2 layers of the high-T-c cuprates, the low-energy electronic excitations are surprisingly similar, with a Zhang-Rice singlet dispersing on weakly coupled cupratelike sublattices. This system should thus be considered as a member of the high-T-c cuprate family, with, however, interesting differences due to the intralayer coupling between the cupratelike sublattices.open1199sciescopu
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