Relevant bibliographies by topics / Superposition (Local Interpretation)

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Academic literature on the topic 'Superposition (Local Interpretation)'

Author: Grafiati
Published: 7 June 2025
Last updated: 17 July 2025

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Journal articles on the topic "Superposition (Local Interpretation)"

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Dong, Hui-Ning, Hui-Ping Du, Shao-Yi Wu, and Peng Li. "Theoretical Interpretation of the EPR Parameters for Dy3+ Ion in LuPO4 Crystal." Zeitschrift für Naturforschung A 59, no. 11 (2004): 765–68. http://dx.doi.org/10.1515/zna-2004-1105.

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Based on the superposition model, in this paper the EPR parameters gII and g⊥ of Dy3+, and the hyperfine structure constants AII and A⊥ of 161Dy3+ and 163Dy3+ in LuPO4 crystal are calculated by perturbation formulas from the crystal-field theory. In the calculations, the contributions of various admixtures and interactions such as J-mixing, mixtures among states with the same J-value, twoorder perturbation, covalency as well as local lattice relaxation are considered. The calculated results agree reasonably with the observed values
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Fragkos, Vasileios, Michael Kopp, and Igor Pikovski. "On inference of quantization from gravitationally induced entanglement." AVS Quantum Science 4, no. 4 (2022): 045601. http://dx.doi.org/10.1116/5.0101334.

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Observable signatures of the quantum nature of gravity at low energies have recently emerged as a promising new research field. One prominent avenue is to test for gravitationally induced entanglement between two mesoscopic masses prepared in spatial superposition. Here, we analyze such proposals and what one can infer from them about the quantum nature of gravity as well as the electromagnetic analogues of such tests. We show that it is not possible to draw conclusions about mediators: even within relativistic physics, entanglement generation can equally be described in terms of mediators or in terms of non-local processes—relativity does not dictate a local channel. Such indirect tests, therefore, have limited ability to probe the nature of the process establishing the entanglement as their interpretation is inherently ambiguous. We also show that cosmological observations already demonstrate some aspects of quantization that these proposals aim to test. Nevertheless, the proposed experiments would probe how gravity is sourced by spatial superpositions of matter, an untested new regime of quantum physics.
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Wibig, Tadeusz. "Testing the superposition model in small CORSIKA shower simulations." Journal of Physics G: Nuclear and Particle Physics 49, no. 3 (2022): 035201. http://dx.doi.org/10.1088/1361-6471/ac4da7.

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Abstract The idea of superposition in the high-energy interactions of cosmic ray nuclei and the development of extensive air showers initiated by them has been known for more than half a century. It has been thoroughly and successfully tested in a number of simulations for primary energies around 1015 and above. In this work, we will investigate its applicability to lower energies. At the lowest energies, when the shower contains on average about one charged particle (or even less), deviations from the superposition model can be seen in the simulation results. Fluctuations of higher moments of the main shower parameters are systematically broader than expected. Further studies to confirm superposition in particular in the shower longitudinal profile are in progress. A correct description of the longitudinal development of the small shower, a precise description of its fluctuations on the observational level with a correct implementation of the superposition principle will enable to construct a simple and fast phenomenological algorithm generating small showers indispensable for the interpretation of measurements made using a small local shower array and determination of the flux of single, incoherent, secondary cosmic ray particles.
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Fedotova, Julia A., Uladzislaw E. Gumiennik, Svetlana A. Vorobyova, et al. "Phase composition and local environment of iron ions in gadolinium-doped iron oxide nanoparticles." Journal of the Belarusian State University. Chemistry, no. 2 (September 19, 2022): 30–37. http://dx.doi.org/10.33581/2520-257x-2022-2-30-37.

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FeO ⋅ Fe2O3 ⋅ nH2O, Fe2.95Gd0.05O4 and Fe2.9Gd0.1O4 powders were obtained by chemical precipitation from aqueous solutions. The phase composition and local environment of iron ions in gadolinium-doped iron oxide nanoparticles were studied by X-ray diffraction analysis and nuclear gamma resonance (NGR) spectroscopy. Interpretation of radiographs and NGR spectra of synthesised samples indicates the presence of a superposition of maghemite γ-Fe2O3 and iron hydroxide α-FeOOH in the samples. It was found that under the deposition of powders in the presence of gadolinium nitrate, an increase in the content of iron hydroxide α-FeOOH is observed, which disappears after annealing at 200 °C.
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Chiarelli, P., and S. Chiarelli. "Stability of Quantum Eigenstates and Collapse of Superposition of States in a Fluctuating Vacuum: The Madelung Hydrodynamic Approach." European Journal of Applied Physics 3, no. 5 (2021): 11–28. http://dx.doi.org/10.24018/ejphysics.2021.3.5.97.

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The paper investigates the quantum fluctuating dynamics by using the stochastic generalization of the Madelung quantum-hydrodynamic approach. By using the discrete approach, the path integral solution is derived in order to investigate how the final stationary configuration is obtained from the initial quantum superposition of states. The model shows that the quantum eigenstates remain stationary configurations with a very small perturbation of their mass density distribution and that any eigenstate, contributing to a quantum superposition of states, can be reached in the final stationary configuration. When the non-local quantum potential acquires a finite range of interaction, the work shows that the macroscopic coarse-grained description of the theory can lead to a really classical system. The minimum uncertainty attainable in the stochastic Madelung model is shown to be compatible with maximum speed of transmission of information and interactions. The theory shows that, in the quantum deterministic limit, the uncertainty relations of quantum mechanics are obtained. The connections with the decoherence theory and the Copenhagen interpretation of quantum mechanics are also discussed.
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Morales-Bayuelo, Alejandro, and Ricardo Vivas-Reyes. "Theoretical Calculations and Modeling for the Molecular Polarization of Furan and Thiophene under the Action of an Electric Field Using Quantum Similarity." Journal of Quantum Chemistry 2014 (March 17, 2014): 1–10. http://dx.doi.org/10.1155/2014/585394.

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A theoretical study on the molecular polarization of thiophene and furan under the action of an electric field using Local Quantum Similarity Indexes (LQSI) was performed. This model is based on Hirshfeld partitioning of electron density within the framework of Density Functional Theory (DFT). Six local similarity indexes were used: overlap, overlap-interaction, coulomb, coulomb-interaction, Euclidian distances of overlap, and Euclidean distances of coulomb. In addition Topo-Geometrical Superposition Algorithm (TGSA) was used as a method of alignment. This method provides a straightforward procedure to solve the problem of molecular relative orientation. It provides a tool to evaluate molecular quantum similarity, enabling the study of structural systems, which differ in only one atom such as thiophene and furan (point group C2v) and cyclopentadienyl molecule (point group D5h). Additionally, this model can contribute to the interpretation of chemical bonds, and molecular interactions in the framework of the solvent effect theory.
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POPOVA, A. D. "NONLINEAR QUANTUM MECHANICS WITH NONCLASSICAL GRAVITATIONAL SELF-INTERACTION." International Journal of Modern Physics A 04, no. 13 (1989): 3229–67. http://dx.doi.org/10.1142/s0217751x89001321.

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The original approach for the self-consistent inclusion of gravity into quantum mechanics of a particle is developed. (There are no connections with second quantization.) The nonstandard action principle is constructed for the stationary situation: the quantum particle in a stationary state creating some nonclassical stationary gravitational field and interacting with it, The accompanying problem of covariantization of quantum operators is considered. The general theory is illustrated by the Newtonian-Schrödingerian and quasi classical limiting cases. The levels of applicability of ordinary quantum mechanics and the problems of measurements and interpretation of nonclassical gravity are discussed. The “uncertainty relations” connecting uncertainties of some “local” parts of curvature and those of the particle’s position and momentum are derived. The superposition principle is generalized on the base of some approximate action.
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Karlin, Ilya. "Derivation of regularized Grad's moment system from kinetic equations: modes, ghosts and non-Markov fluxes." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2118 (2018): 20170230. http://dx.doi.org/10.1098/rsta.2017.0230.

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Derivation of the dynamic correction to Grad’s moment system from kinetic equations (regularized Grad’s 13 moment system, or R13) is revisited. The R13 distribution function is found as a superposition of eight modes. Three primary modes, known from the previous derivation (Karlin et al. 1998 Phys. Rev. E 57 , 1668–1672. ( doi:10.1103/PhysRevE.57.1668 )), are extended into the nonlinear parameter domain. Three essentially nonlinear modes are identified, and two ghost modes which do not contribute to the R13 fluxes are revealed. The eight-mode structure of the R13 distribution function implies partition of R13 fluxes into two types of contributions: dissipative fluxes (both linear and nonlinear) and nonlinear streamline convective fluxes. Physical interpretation of the latter non-dissipative and non-local in time effect is discussed. A non-perturbative R13-type solution is demonstrated for a simple Lorentz scattering kinetic model. The results of this study clarify the intrinsic structure of the R13 system. This article is part of the theme issue ‘Hilbert’s sixth problem’.
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Medina, Ana, Josep Triviño, Rafael J. Borges, Claudia Millán, Isabel Usón, and Massimo D. Sammito. "ALEPH: a network-oriented approach for the generation of fragment-based libraries and for structure interpretation." Acta Crystallographica Section D Structural Biology 76, no. 3 (2020): 193–208. http://dx.doi.org/10.1107/s2059798320001679.

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The analysis of large structural databases reveals general features and relationships among proteins, providing useful insight. A different approach is required to characterize ubiquitous secondary-structure elements, where flexibility is essential in order to capture small local differences. The ALEPH software is optimized for the analysis and the extraction of small protein folds by relying on their geometry rather than on their sequence. The annotation of the structural variability of a given fold provides valuable information for fragment-based molecular-replacement methods, in which testing alternative model hypotheses can succeed in solving difficult structures when no homology models are available or are successful. ARCIMBOLDO_BORGES combines the use of composite secondary-structure elements as a search model with density modification and tracing to reveal the rest of the structure when both steps are successful. This phasing method relies on general fold libraries describing variations around a given pattern of β-sheets and helices extracted using ALEPH. The program introduces characteristic vectors defined from the main-chain atoms as a way to describe the geometrical properties of the structure. ALEPH encodes structural properties in a graph network, the exploration of which allows secondary-structure annotation, decomposition of a structure into small compact folds, generation of libraries of models representing a variation of a given fold and finally superposition of these folds onto a target structure. These functions are available through a graphical interface designed to interactively show the results of structure manipulation, annotation, fold decomposition, clustering and library generation. ALEPH can produce pictures of the graphs, structures and folds for publication purposes.
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Jamet, Quentin, William K. Dewar, Nicolas Wienders, Bruno Deremble, Sally Close, and Thierry Penduff. "Locally and Remotely Forced Subtropical AMOC Variability: A Matter of Time Scales." Journal of Climate 33, no. 12 (2020): 5155–72. http://dx.doi.org/10.1175/jcli-d-19-0844.1.

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AbstractMechanisms driving the North Atlantic meridional overturning circulation (AMOC) variability at low frequency are of central interest for accurate climate predictions. Although the subpolar gyre region has been identified as a preferred place for generating climate time-scale signals, their southward propagation remains under consideration, complicating the interpretation of the observed time series provided by the Rapid Climate Change–Meridional Overturning Circulation and Heatflux Array–Western Boundary Time Series (RAPID–MOCHA–WBTS) program. In this study, we aim at disentangling the respective contribution of the local atmospheric forcing from signals of remote origin for the subtropical low-frequency AMOC variability. We analyze for this a set of four ensembles of a regional (20°S–55°N), eddy-resolving (1/12°) North Atlantic oceanic configuration, where surface forcing and open boundary conditions are alternatively permuted from fully varying (realistic) to yearly repeating signals. Their analysis reveals the predominance of local, atmospherically forced signal at interannual time scales (2–10 years), whereas signals imposed by the boundaries are responsible for the decadal (10–30 years) part of the spectrum. Due to this marked time-scale separation, we show that, although the intergyre region exhibits peculiarities, most of the subtropical AMOC variability can be understood as a linear superposition of these two signals. Finally, we find that the decadal-scale, boundary-forced AMOC variability has both northern and southern origins, although the former dominates over the latter, including at the site of the RAPID array (26.5°N).
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Book chapters on the topic "Superposition (Local Interpretation)"

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Jaeger, Gregg. "Superposition, Entanglement, and Limits of Local Causality." In Entanglement, Information, and the Interpretation of Quantum Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92128-8_1.

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Conference papers on the topic "Superposition (Local Interpretation)"

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Hodges, Justin, and Jayanta S. Kapat. "Topology and Physical Interpretation of Turbulence Model Behavior on an Array of Film Cooling Jets." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90646.

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Abstract This study strives to provide a critical review and evaluation of influential constituent components in the two-equation k-ε turbulence model class, which are often employed in large full-fidelity gas turbine simulations in industry. All conjectures made, regarding the turbulence model behavior, will be compared to in-house experimental film effectiveness data from a novel film cooling array configuration. This experimental data set is comprised of high resolution adiabatic film cooling effectiveness measurements throughout two film cooling arrays comprised of diffused film holes of modern shape (streamwise inclination of α = 30°, expansion of Φ1,2,3 = 10°, AR = 3.4, and β = 0° relative to the crossflow direction). The difference between each film cooling array is only a staggered verses inline pattern for the film holes, whereby each has a uniform spacing of X/D = P/D = 8. Local coverage, laterally averaged film cooling effectiveness, and superposition analysis was quantified over a variety of testing conditions (M = 0.5, 0.75, 1.0, 1.5, 2.0, 2.5 at DR = 0.9). First, rendered quantifications of the anisotropic nature of the turbulence are shown throughout the near-field injection region, by leveraging the Reynolds stresses to form anisotropic-invariant maps. Next, results from k-ε models using a linear, a cubic, and a quadratic constitutive relation are compared. Furthermore, effective and conservative scaling of the production and destruction terms in the turbulent transport equations was performed, within reasonable bounds, and the resulting impact on the adiabatic film effectiveness was quantified. This scaling encompasses the Cε2 coefficient, as well as the Durbin realizibility coefficient used in the turbulent viscosity definition. Finally, various formulations of the turbulent Prandtl number were compared, with the resulting adiabatic film effectiveness observed.
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