2,733 research outputs found
Wave Mechanics of Two Hard Core Quantum Particles in 1-D Box
The wave mechanics of two impenetrable hard core particles in 1-D box is
analyzed. Each particle in the box behaves like an independent entity
represented by a {\it macro-orbital} (a kind of pair waveform). While the
expectation value of their interaction, ,
satisfies (or , with being the size
of the box). The particles in their ground state define a close-packed
arrangement of their wave packets (with , phase position
separation and momentum ) and experience a
mutual repulsive force ({\it zero point repulsion}) which
also tries to expand the box. While the relative dynamics of two particles in
their excited states represents usual collisional motion, the same in their
ground state becomes collisionless. These results have great significance in
determining the correct microscopic understanding of widely different many body
systems.Comment: 12 pages, no figur
Measurement of residual stress by using focused ion beam and digital image correlation method in thin-sized wires used for steel cords
Residual stress in the axial direction of the steel wires has been measured by using a method based on the combination of the focused ion beam (FIB) milling and digital image correlation software. That is, the residual stress was calculated from the measured displacement field before and after the introduction of a slot along the steel wires. The displacement was obtained by the digital correlation analysis of high-resolution scanning electron micrographs, while the slot was introduced by FIB milling with low energy beam. The fitting of the experimental results to an analytical model with the independent Young's modulus determined allows us to find the residual stress. The complete experimental procedures are described and its feasibilities are also evaluated for the thin-sized steel wires.open112sciescopu
Distributed H∞-consensus filtering in sensor networks with multiple missing measurements: The finite-horizon case
The official published version of the article can be found at the link below.This paper is concerned with a new distributed H∞-consensus filtering problem over a finite-horizon for sensor networks with multiple missing measurements. The so-called H∞-consensus performance requirement is defined to quantify bounded consensus regarding the filtering errors (agreements) over a finite-horizon. A set of random variables are utilized to model the probabilistic information missing phenomena occurring in the channels from the system to the sensors. A sufficient condition is first established in terms of a set of difference linear matrix inequalities (DLMIs) under which the expected H∞-consensus performance constraint is guaranteed. Given the measurements and estimates of the system state and its neighbors, the filter parameters are then explicitly parameterized by means of the solutions to a certain set of DLMIs that can be computed recursively. Subsequently, two kinds of robust distributed H∞-consensus filters are designed for the system with norm-bounded uncertainties and polytopic uncertainties. Finally, two numerical simulation examples are used to demonstrate the effectiveness of the proposed distributed filters design scheme.This work was supported in part by the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant GR/S27658/01, the Royal Society of the UK, and the Alexander von Humboldt Foundation of Germany
Comparison of radiofrequency ablation versus laparoscopic adrenalectomy for benign aldosterone-producing adenoma
Quantum Entanglement of Identical Particles
We consider entanglement in a system of fixed number of identical particles.
Since any operation should be symmetrized over all the identical particles and
there is the precondition that the spatial wave functions overlap, the meaning
of identical-particle entanglement is fundamentally different from that of
distinguishable particles. The identical-particle counterpart of the Schmidt
basis is shown to be the single-particle basis in which the one-particle
reduced density matrix is diagonal. But it does not play a special role in the
issue of entanglement, which depends on the single-particle basis chosen. The
nonfactorization due to (anti)symmetrization is naturally excluded by using the
(anti)symmetrized basis or, equivalently, the particle number representation.
The natural degrees of freedom in quantifying the identical-particle
entanglement in a chosen single-particle basis are occupation numbers of
different single particle basis states. The entanglement between effectively
distinguishable spins is shown to be a special case of the occupation-number
entanglement.Comment: 5 pages, revtex4. A sentence is improve
Temperature-dependent Raman spectroscopy in BaRuO systems
We investigated the temperature-dependence of the Raman spectra of a
nine-layer BaRuO single crystal and a four-layer BaRuO epitaxial film,
which show pseudogap formations in their metallic states. From the polarized
and depolarized spectra, the observed phonon modes are assigned properly
according to the predictions of group theory analysis. In both compounds, with
decreasing temperature, while modes show a strong hardening, (or
) modes experience a softening or no significant shift. Their different
temperature-dependent behaviors could be related to a direct Ru metal-bonding
through the face-sharing of RuO. It is also observed that another
mode of the oxygen participating in the face-sharing becomes split at low
temperatures in the four layer BaRuO. And, the temperature-dependence of
the Raman continua between 250 600 cm is strongly correlated to
the square of the plasma frequency. Our observations imply that there should be
a structural instability in the face-shared structure, which could be closely
related to the pseudogap formation of BaRuO systems.Comment: 8 pages, 6 figures. to be published in Phys. Rev.
Signature inversion -- manifestation of drift of the rotational axis in triaxial nuclei
A possible scheme of realizing shell model calculations for heavy nuclei is
based on a deformed basis and the projection technique. Here we present a new
development for odd-odd nuclei, in which one starts with triaxially-deformed
multi-quasi-particle configurations, builds the shell-model space through exact
three-dimensional angular-momentum-projection, and diagonalizes a two-body
Hamiltonian in this space. The model enables us to study the old problem of
signature inversion from a different view. With an excellent reproduction of
the experimental data in the mass-130 region, the results tend to interpret the
phenomenon as a manifestation of dynamical drift of the rotational axis with
presence of axial asymmetry in these nuclei.Comment: 10 pages, 5 figure
Identification of Mycobacterium species in positive Mycobacteria growth indicator tube by an oligonucleotide array
Modelling a preference-based index for EQ-5D-3L and EQ-5D-3L + Sleep using a Bayesian framework
Background
Conventionally, frequentist approach has been used to model health state valuation data. Recently, researchers started to explore the use of Bayesian methods in this area.
Objectives
This paper presents an alternative approach to modelling health state valuation data of the EQ-5D-3L and EQ-5D-3L + Sleep descriptive systems, using a Bayesian framework, and demonstrates its superiority to conventional frequentist methods.
Methods
The valuation study is composed of 18 EQ-5D-3L health states and 18 EQ-5D-3L + Sleep health states valued by 160 members of the general public in South Yorkshire, UK, using the time tradeo-ff technique. Three different models were developed for EQ-5D-3L and EQ-5D-3L + Sleep accordingly using Bayesian Markov chain Monte Carlo simulation methods. Bayesian methods were applied to models fitted included a linear regression, random effect and random effect with covariates. The models are compared based on their predictive performance using mean predictions, root mean squared error (RMSE) and deviance information criterion (DIC). All analyses were performed using Bayesian Markov chain Monte Carlo simulation methods.
Results
The random effects with covariates model performs best under all criterions for the two preference-based measures, with RMSE (0.037) and DIC (637.5) for EQ-5D-3L and RMSE (0.019), DIC (416.4) for EQ-5D + Sleep. Compared with models previously estimated using frequentist approach, the Bayesian models reported in this paper provided better predictions of observed values.
Conclusion
Bayesian methods provide a better way to model EQ-5D-3L valuation data with and without a sleep ‘bolt-on’ and provide a more flexible in characterizing the full range of uncertainty inherent in these estimates
Density Matrix in Quantum Mechanics and Distinctness of Ensembles Having the Same Compressed Density Matrix
We clarify different definitions of the density matrix by proposing the use
of different names, the full density matrix for a single-closed quantum system,
the compressed density matrix for the averaged single molecule state from an
ensemble of molecules, and the reduced density matrix for a part of an
entangled quantum system, respectively. We show that ensembles with the same
compressed density matrix can be physically distinguished by observing
fluctuations of various observables. This is in contrast to a general belief
that ensembles with the same compressed density matrix are identical. Explicit
expression for the fluctuation of an observable in a specified ensemble is
given. We have discussed the nature of nuclear magnetic resonance quantum
computing. We show that the conclusion that there is no quantum entanglement in
the current nuclear magnetic resonance quantum computing experiment is based on
the unjustified belief that ensembles having the same compressed density matrix
are identical physically. Related issues in quantum communication are also
discussed.Comment: 26 pages. To appear in Foundations of Physics, 36 (8), 200
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