11,235 research outputs found
Effective Equations of Motion for Quantum Systems
In many situations, one can approximate the behavior of a quantum system,
i.e. a wave function subject to a partial differential equation, by effective
classical equations which are ordinary differential equations. A general method
and geometrical picture is developed and shown to agree with effective action
results, commonly derived through path integration, for perturbations around a
harmonic oscillator ground state. The same methods are used to describe
dynamical coherent states, which in turn provide means to compute quantum
corrections to the symplectic structure of an effective system.Comment: 31 pages; v2: a new example, new reference
ScanComplete: Large-Scale Scene Completion and Semantic Segmentation for 3D Scans
We introduce ScanComplete, a novel data-driven approach for taking an
incomplete 3D scan of a scene as input and predicting a complete 3D model along
with per-voxel semantic labels. The key contribution of our method is its
ability to handle large scenes with varying spatial extent, managing the cubic
growth in data size as scene size increases. To this end, we devise a
fully-convolutional generative 3D CNN model whose filter kernels are invariant
to the overall scene size. The model can be trained on scene subvolumes but
deployed on arbitrarily large scenes at test time. In addition, we propose a
coarse-to-fine inference strategy in order to produce high-resolution output
while also leveraging large input context sizes. In an extensive series of
experiments, we carefully evaluate different model design choices, considering
both deterministic and probabilistic models for completion and semantic
inference. Our results show that we outperform other methods not only in the
size of the environments handled and processing efficiency, but also with
regard to completion quality and semantic segmentation performance by a
significant margin.Comment: Video: https://youtu.be/5s5s8iH0NF
Heats of formation of perchloric acid, HClO, and perchloric anhydride, ClO. Probing the limits of W1 and W2 theory
The heats of formation of HClO and ClO have been determined to
chemical accuracy for the first time by means of W1 and W2 theory. These
molecules exhibit particularly severe degrees of inner polarization, and as
such obtaining a basis-set limit SCF component to the total atomization energy
becomes a challenge. (Adding high-exponent functions to a standard
basis set has an effect on the order of 100 kcal/mol for ClO.) Wilson's
aug-cc-pV(n+d)Z basis sets represent a dramatic improvement over the standard
aug-cc-pVnZ basis sets, while the aug-cc-pVnZ+2d1f sequence converges still
more rapidly. Jensen's polarization consistent basis sets still require
additional high-exponent functions: for smooth convergence we suggest the
\{aug-pc1+3d,aug-pc2+2d,aug-pc3+d,aug-pc4\} sequence. The role of the tight
functions is shown to be an improved description of the Cl (3d) Rydberg
orbital, enhancing its ability to receive back-bonding from the oxygen lone
pairs. In problematic cases like this (or indeed in general), a single
SCF/aug-cc-pV6Z+2d1f calculation may be preferable over empirically motivated
extrapolations. Our best estimate heats of formation are HClO(g)1 kcal/mol and ClO(g)2 kcal/mol, the largest source of
uncertainty being our inability to account for post-CCSD(T) correlation
effects. While G2 and G3 theory have fairly large errors, G3X theory reproduces
both values to within 2 kcal/mol.Comment: J. Mol. Struct. (THEOCHEM), in press (WATOC'05 special issue
Simplification of Health and Social Services Enrollment and Eligibility: Lessons for California From Interviews in Four States
Explores state officials' and advocates' views on issues involved in streamlining enrollment and eligibility processes, including the importance of staff buy-in, community partners' outreach efforts, and technological challenges and lessons learned
Optimized hash for network path encoding with minimized false positives
The Bloom filter is a space efficient randomized data structure for representing a set and supporting membership queries. Bloom filters intrinsically allow false positives. However, the space savings they offer outweigh the disadvantage if the false positive rates are kept sufficiently low. Inspired by the recent application of the Bloom filter in a novel multicast forwarding fabric, this paper proposes a variant of the Bloom filter, the optihash. The optihash introduces an optimization for the false positive rate at the stage of Bloom filter formation using the same amount of space at the cost of slightly more processing than the classic Bloom filter. Often Bloom filters are used in situations where a fixed amount of space is a primary constraint. We present the optihash as a good alternative to Bloom filters since the amount of space is the same and the improvements in false positives can justify the additional processing. Specifically, we show via simulations and numerical analysis that using the optihash the false positives occurrences can be reduced and controlled at a cost of small additional processing. The simulations are carried out for in-packet forwarding. In this framework, the Bloom filter is used as a compact link/route identifier and it is placed in the packet header to encode the route. At each node, the Bloom filter is queried for membership in order to make forwarding decisions. A false positive in the forwarding decision is translated into packets forwarded along an unintended outgoing link. By using the optihash, false positives can be reduced. The optimization processing is carried out in an entity termed the Topology Manger which is part of the control plane of the multicast forwarding fabric. This processing is only carried out on a per-session basis, not for every packet. The aim of this paper is to present the optihash and evaluate its false positive performances via simulations in order to measure the influence of different parameters on the false positive rate. The false positive rate for the optihash is then compared with the false positive probability of the classic Bloom filter
A variational approach to dislocation problems for periodic Schr\"odinger operators
As a simple model for lattice defects like grain boundaries in solid state
physics we consider potentials which are obtained from a periodic potential on with period lattice by setting
for and for , for . For
Lipschitz-continuous it is shown that the Schr\"odinger operators have spectrum (surface states) in the spectral gaps of ,
for suitable . We also discuss the density of these surface states
as compared to the density of the bulk. Our approach is variational and it is
first applied to the well-known dislocation problem [E. Korotyaev, Commun.
Math. Phys. 213 (2000), 471-489], [E. Korotyaev, Asymptotic Anal. 45 (2005),
73-97] on the real line. We then proceed to the dislocation problem for an
infinite strip and for the plane. In an appendix, we discuss regularity
properties of the eigenvalue branches in the one-dimensional dislocation
problem for suitable classes of potentials.Comment: 19 pages, 3 figure
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