Reverse Engineering: Statistical Threshold for New Selective Sampling Morphological Descriptor
E. Vezzetti
During the digitization process of a physical object, the operator has to choose an acquisition pitch. Currently, 3D scanners employ constant pitches. For this reason the grid dimension choice normally represents a compromise between the scanner performances and specific applications, and the resolu ... [J. Comput. Inf. Sci. Eng. 10, 011008 (2010)] published Wed Mar 10, 2010.
Estimating generalized Lyapunov exponents for products of random matrices
J. Vanneste
We discuss several techniques for the evaluation of the generalized Lyapunov exponents which characterize the growth of products of random matrices in the large-deviation regime. A Monte Carlo algorithm that performs importance sampling using a simple random resampling step is proposed as a general- ... [Phys. Rev. E 81, 036701 ] published .
Finite nuclear mass corrections to electric and magnetic interactions in diatomic molecules
Krzysztof Pachucki
In order to interpret precise measurements of molecular properties, finite nuclear mass corrections to the Born-Oppenheimer approximation have to be accounted for. It is demonstrated that they can be obtained systematically using nonadiabatic perturbation theory. The formulas for the leading correct ... [Phys. Rev. A 81, 032505 ] published .
Gauge invariance and reciprocity in quantum mechanics
P. T. Leung (梁培德) and K. Young (楊綱凱)
Reciprocity in wave propagation usually refers to the symmetry of the Green's function under the interchange of the source and the observer coordinates, but this condition is not gauge invariant in quantum mechanics, a problem that is particularly significant in the presence of a vector potential. S ... [Phys. Rev. A 81, 032107 ] published .
Discrete and continuous invariance in phyllotactic tilings
Patrick D. Shipman
Phyllotaxis refers to the arrangement of primordia (the first stage in the development of a structure such as a leaf) on plants and phyllotactic planforms refer to the shapes of the primordia in a phyllotactic arrangement. This paper focuses on invariances in phyllotactic planforms as the van Iterso ... [Phys. Rev. E 81, 031905 ] published .
Final-state spectrum of He after beta decay of tritium anions T
Alexander Stark and Alejandro Saenz
The final-state spectrum of beta decaying tritium anions T was calculated. The wave functions describing the initial T ground state and the final He states were obtained by the full configuration-interaction method. The transition probability was calculated within the sudden approximation. The trans ... [Phys. Rev. A 81, 032501 ] published .
A fractional calculus of variations for multiple integrals with application to vibrating string
Ricardo Almeida, Agnieszka B. Malinowska, and Delfim F. M. Torres
We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of RiemannLiouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Eu ... [J. Math. Phys. 51, 033503 (2010)] published Fri Mar 5, 2010.
Compact and flexible basis functions for quantum Monte Carlo calculations
F. R. Petruzielo, Julien Toulouse, and C. J. Umrigar
Molecular calculations in quantum Monte Carlo frequently employ a mixed basis consisting of contracted and primitive Gaussian functions. While standard basis sets of varying size and accuracy are available in the literature, we demonstrate that reoptimizing the primitive function exponents within qu ... [J. Chem. Phys. 132, 094109 (2010)] published Fri Mar 5, 2010.
Optimal Stopping Rules For Some Blackjack Type Problems
Andrzej Z. Grzybowski
The paper deals with a class of optimal stopping problems having some features of blackjack type games. A decision maker observes sequentially the values of a finite sequence of non-negative random variables. After each observation he decides whether to stop or to continue. If he decides to stop, he ... [AIP Conf. Proc. 1220, 91 (2010)] published Fri Mar 5, 2010.
A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE
James V. Lambers
Krylov subspace spectral (KSS) methods have been demonstrated to be effective tools for solving time-dependent variable-coefficient PDE. They employ techniques developed by Golub and Meurant for computing elements of functions of matrices to approximate each Fourier coefficient of the solution using ... [AIP Conf. Proc. 1220, 134 (2010)] published Fri Mar 5, 2010.
Integrability of the KruskalZabusky Discrete Equation by Multiscale Expansion
Decio Levi and Christian Scimiterna
In 1965 Kruskal and Zabusky in a very famous article in Physical Review Letters introduced the notion of soliton to describe the interaction of solitary waves solutions of the Korteweg de Vries equation (KdV). To do so they introduced a discrete approximation to the KdV, the KruskalZabusky equation ... [AIP Conf. Proc. 1212, 66 (2010)] published Fri Mar 5, 2010.
Integral transformation and Darboux transformation of Heun's differential equation
Kouichi Takemura
We review Darboux-Crum transformation of Heun's differential equation. By rewriting an integral transformation of Heun's differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux-Crum transformation. We also consider conservation ... [AIP Conf. Proc. 1212, 58 (2010)] published Fri Mar 5, 2010.
Singular solutions of nonlinear systems and patterns associated with them
Mikhail Kovalyov
We discuss properties of and patterns exhibited by singular solutions of integrable systems. ... [AIP Conf. Proc. 1212, 43 (2010)] published Fri Mar 5, 2010.
Virasoro and W-constraints for the q-KP hierarchy
Kelei Tian, Jingsong He, and Yi Cheng
Based on the Adler-Shiota-van Moerbeke (ASvM) formula, the Virasoro constraints and W-constraints for the p-reduced q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy are established. ... [AIP Conf. Proc. 1212, 35 (2010)] published Fri Mar 5, 2010.
Multi-component matrix loop algebras and their applications to integrable systems
Zhu Li
Firstly, a multi-component matrix Loop algebra A and its expanding Loop algebra A are constructed. Then using A, an isospectral problem is established; and by virtue of the Tu scheme, a multi-component integrable system is obtained, which is Liouville integrable. Further, the Hamiltonian structure o ... [AIP Conf. Proc. 1212, 286 (2010)] published Fri Mar 5, 2010.
On the Exp-function method for constructing travelling wave solutions of nonlinear equations
Lijun Zhang and Xuwen Huo
The Exp-function method or some similar direct methods have been applied by many researchers to the construction of new solutions to nonlinear differential equations. In this paper, we demonstrate that some of those so-called new solutions can always be transformed into a uniform formula, which can ... [AIP Conf. Proc. 1212, 280 (2010)] published Fri Mar 5, 2010.
The 2+1 dimensional Kaup-Kuperschmidt equation with self-consistent sources and its exact solutions
Hong-Yan Wang, Hon-Wah Tam, and Xing-Biao Hu
In this paper, determinant type solutions of the 2+1 dimensional Kaup-Kuperschmidt (2DKK) equation are firstly obtained. Then the 2+1 dimensional Kaup-Kuperschmidt equation with self-consistent sources (2DKK ESCS) is presented through the source generation procedure. Exact solutions of this coupled ... [AIP Conf. Proc. 1212, 273 (2010)] published Fri Mar 5, 2010.
(2+1)-dimensional non-isospectral multi-component AKNS equations and its integrable couplings
Ye-Peng Sun
(2+1)-dimensional non-isospectral multi-component AKNS equations are derived from an arbitrary order matrix spectral problem. As a reduction, (2+1)-dimensional non-isospectral multi-component Schrodinger equations are obtained. Moreover, new (2+1)-dimensional non-isospectral integrable couplings of ... [AIP Conf. Proc. 1212, 264 (2010)] published Fri Mar 5, 2010.
Darboux transformation for the NLS equation
Tuncay Aktosun and Cornelis van der Mee
We analyze a certain class of integral equations associated with Marchenko equations and Gel'fand-Levitan equations. Such integral equations arise through a Fourier transformation on various ordinary differential equations involving a spectral parameter. When the integral operator is perturbed by a ... [AIP Conf. Proc. 1212, 254 (2010)] published Fri Mar 5, 2010.
Two new reductions of a 2 x 2 discrete spectral problem and their corresponding discrete Hamiltonian systems
Gegenhasi
We use the Tu-scheme to construct a general hierarchy of integrable systems associated with a general 2 x 2 discrete spectral problem. Two new integrable lattice sub-hierarchies are derived from reductions of the obtained general hierarchy of integrable systems. They are shown to be discrete Hamilto ... [AIP Conf. Proc. 1212, 243 (2010)] published Fri Mar 5, 2010.
Conditional Lie-Backlund symmetries and concavity of solutions to nonlinear parabolic equations
Changzheng Qu, Shoufeng Shen, and Shunli Zhang
In this paper, we study the relation between conditional Lie-Backlund symmetries and the estimates for concavity (or convexity) and B-concavity (or B-convexity) of solutions to nonlinear parabolic equations. It is shown that the estimates for concavity and B-concavity of solutions are associated wit ... [AIP Conf. Proc. 1212, 219 (2010)] published Fri Mar 5, 2010.
Darboux transformation and exact solutions for a three-field lattice equation
Hai-qiong Zhao and Zuo-nong Zhu
The Darboux transformation for a three-field lattice equation is constructed. As an application of the obtained Darboux transformation, explicit exact solutions of the lattice equation are given. We also discuss some properties for these new explicit solutions. Our analysis shows that the explicit s ... [AIP Conf. Proc. 1212, 162 (2010)] published Fri Mar 5, 2010.
Generalized solutions for the H1 model in ABS List of lattice equations
Da-jun Zhang and Jarmo Hietarinta
In this paper we discuss solutions in Casoratian form for H1, which is the simplest member in ABS list of lattice equations. By investigating the condition satisfied by the Casoratian basic column we propose a generalization, which yields solutions which are different form solitons. These solutions ... [AIP Conf. Proc. 1212, 154 (2010)] published Fri Mar 5, 2010.
Darboux-Backlund Transformations and Rational Solutions of the Painleve IV Equation
H. Aratyn, J. F. Gomes, and A. H. Zimerman
Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive ... [AIP Conf. Proc. 1212, 146 (2010)] published Fri Mar 5, 2010.
Modified variational iteration method for partial differential equations using Ma's transformation
Syed Tauseef Mohyud-Din
In this paper, we apply the modified variational iteration method (MVIM) for solving partial differential equations using Ma's transformation. The proposed modification is made by introducing He's polynomials in the correction functional of the variational iteration method (VIM). Moreover, we use a ... [AIP Conf. Proc. 1212, 106 (2010)] published Fri Mar 5, 2010.
Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds
Shannon McCurdy and Bruno Zumino
After a brief description of the [openface Z]-graded differential Poisson algebra, we introduce a covariant star product for exterior differential forms and give an explicit expression for it up to second order in the deformation parameter [barred aitch], in the case of symplectic manifolds. The gra ... [AIP Conf. Proc. 1200, 204 (2010)] published Fri Mar 5, 2010.
Limiting Case of Modified Electroweak Model for Contracted Gauge Group. (arXiv:1003.1832v1 [math-ph])
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On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. (arXiv:1003.1840v1 [math.DG])
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Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice. (arXiv:1003.1853v1 [math-ph])
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Neutral Delay and a Generalization of Electrodynamics. (arXiv:1003.1858v1 [math-ph])
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On an inverse problem for anisotropic conductivity in the plane. (arXiv:1003.1880v1 [math.AP])
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Representation Theorems for Indefinite Quadratic Forms Revisited. (arXiv:1003.1908v1 [math.FA])
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A Note on Universality of Gaussian Analytic Functions on Symmetric Spaces. (arXiv:1003.1951v1 [math.PR])
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Comment on "Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential". (arXiv:1003.1955v1 [math-ph])
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Homotopy perturbation method for fractional-order Burgers-Poisson equation. (arXiv:1003.1828v1 [nlin.PS])
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The Rotating-Wave Approximation: Consistency and Applicability from an Open Quantum System Analysis. (arXiv:1003.1749v1 [quant-ph])
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On the nodal sets of toral eigenfunctions. (arXiv:1003.1743v1 [math-ph])
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On the Two Obstacles Problem in Orlicz-Sobolev Spaces and Applications. (arXiv:1003.1740v1 [math.AP])
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All-order epsilon-expansions of hypergeometric functions of one variable. (arXiv:1003.1965v1 [math-ph])
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A Generalization of Quantum Stein's Lemma. (arXiv:0904.0281v3 [quant-ph] UPDATED)
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Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity. (arXiv:0907.4278v3 [math-ph] UPDATED)
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The three-colour model with domain wall boundary conditions. (arXiv:0911.0561v2 [math.CO] UPDATED)
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Limit-Periodic Schr\"odinger Operators With Uniformly Localized Eigenfunctions. (arXiv:1003.1695v2 [math.SP] UPDATED)
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Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model. (arXiv:1003.1228v1 [hep-th] CROSS LISTED)
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