The Experts below are selected from a list of 270 Experts worldwide ranked by ideXlab platform
Ivana Stajner-papuga - One of the best experts on this subject based on the ideXlab platform.
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Pseudo-linear Superposition Principle based on generated pseudo-operations: applications
2008 6th International Symposium on Intelligent Systems and Informatics, 2008Co-Authors: D. Vivona, Ivana Stajner-papugaAbstract:The Superposition Principle is a useful tool for constructing new solutions of ordinary and partial differential equations. Therefore, through this paper, we are considering the pseudo-linear Superposition Principle based on generated pseudo-operations of the following form: x oplus y = g-1 (g(x) + g(y)) , x odot y = g-1 (g(x)g(y)) , where g is a continuous generating function. Some possibilities of the pseudo-linear Superposition Principle are illustrated through its application on three different nonlinear partial differential equations.
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Pseudo-linear Superposition Principle for the Monge-Ampère equation based on generated pseudo-operations
Journal of Mathematical Analysis and Applications, 2008Co-Authors: D. Vivona, Ivana Stajner-papugaAbstract:Through this paper, we consider generated pseudo-operations of the following form: x⊕y=g−1(g(x)+g(y)), x⊙y=g−1(g(x)g(y)), where g is a continuous generating function. Pseudo-linear Superposition Principle, i.e., the Superposition Principle with this type of pseudo-operations in the core, for the Monge–Ampere equation is investigated.
Hendrik Ulbricht - One of the best experts on this subject based on the ideXlab platform.
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Testing the quantum Superposition Principle in the frequency domain
Physical Review A, 2014Co-Authors: Mohammad Bahrami, Angelo Bassi, Hendrik UlbrichtAbstract:New technological developments allow to explore the quantum properties of very complex systems, bringing the question of whether also macroscopic systems share such features, within experimental reach. The interest in this question is increased by the fact that, on the theory side, many suggest that the quantum Superposition Principle is not exact, departures from it being the larger, the more macroscopic the system. Here we propose a novel way to test the possible violation of the Superposition Principle, by analyzing its effect on the spectral properties of a generic two-level system. We will show that spectral lines shapes are modified, if the Superposition Principle is violated, and we quantify the magnitude of the violation. We show how this effect can be distinguished from that of standard environmental noises. We argue that accurate enough spectroscopic experiments are within reach, with current technology
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Testing the quantum Superposition Principle in the frequency domain
Physical Review A, 2014Co-Authors: Mohammad Bahrami, Angelo Bassi, Hendrik UlbrichtAbstract:We study how photon emission of a two-level system is modified if the Superposition Principle is violated. We solve the relevant equations of motion. We quantify the magnitude of the new spectral effects for relevant collapse models to illustrate our theoretical results. We show how these effects can be distinguished from those of standard environmental decoherence. We apply our result to physically interesting systems and suggest that accurate-enough spectroscopic experiments are within reach with current technology.
Kozo Takayama - One of the best experts on this subject based on the ideXlab platform.
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Prediction of color changes in acetaminophen solution using the time-temperature Superposition Principle.
Drug Development and Industrial Pharmacy, 2015Co-Authors: Koji Mochizuki, Kozo TakayamaAbstract:AbstractA prediction method for color changes based on the time–temperature Superposition Principle (TTSP) was developed for acetaminophen solution. Color changes of acetaminophen solution are caus...
Said Ahzi - One of the best experts on this subject based on the ideXlab platform.
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Development of a flow stress model for metals using the strain rate /temperature Superposition Principle
III European Conference on Computational Mechanics, 1Co-Authors: Ch. Husson, Julien Richeton, Said AhziAbstract:The stress-strain response of metallic materials and alloys is influenced by the temperature at which deformation occurs and by the loading rate. To model this behavior under a wide range of strain rates and temperatures we propose to use the strain rate / temperature Superposition Principle: an increase in temperature will have the same effect on the yield stress as a decrease in strain rate. This type of approach has been recently proposed to model the yield behavior of solid polymers. Here we show that this approach can be extended to model the yielding and flow stress evolution in ductile metals. For a wide range of temperatures and strain rates, the Superposition Principle is applied for different metals such as copper and high strength steel. This comparison showed a good agreement with the experimental data found in the literature.
Alexander A. Alexeyev - One of the best experts on this subject based on the ideXlab platform.
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A Multidimensional Superposition Principle: Classical Solitons IV
Journal of Nonlinear Mathematical Physics, 2021Co-Authors: Alexander A. AlexeyevAbstract:This article continues the series of the works of 1998–2007 years devoted to the Multidimensional Superposition Principle, the concept easily explaining both classical soliton and more complex wave...
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A multidimensional Superposition Principle and wave switching in integrable and nonintegrable soliton models
Journal of Physics A: Mathematical and General, 2004Co-Authors: Alexander A. AlexeyevAbstract:In the framework of a multidimensional Superposition Principle a series of computer experiments with integrable and nonintegrable models are carried out with the goal of verifying the existence of switching effect and Superposition in soliton–perturbation interactions for a wide class of nonlinear PDEs.
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A multidimensional Superposition Principle: classical solitons II
Journal of Physics A: Mathematical and General, 2003Co-Authors: Alexander A. AlexeyevAbstract:A concept introduced previously as an approach for finding Superposition formulae for solutions of nonlinear PDEs and an explanation of various types of wave interactions in such systems is developed further, both from the theoretical and technical point of view. In its framework, which is the framework of the multidimensional Superposition Principle, a straightforward and self-consistent technique for constructing the related invariant manifolds in a soliton case is proposed. The method is illustrated by simple examples, which, in particular, show in Principle the generality that exists between Superposition formulae for conventional linear and nonlinear soliton equations. The demonstration that the so-called truncated singular expansions associated can be with some sort of the above soliton invariant manifolds is also presented.