Relevant bibliographies by topics / Gaussian ansatz

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Gaussian ansatz'

Author: Grafiati
Published: 7 September 2024
Last updated: 31 July 2025

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Journal articles on the topic "Gaussian ansatz"

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Wang, Meng-Jong. "The Gaussian ansatz and beyond." Il Nuovo Cimento A 104, no. 3 (1991): 449–52. http://dx.doi.org/10.1007/bf02799149.

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GUPTA, SOURENDU, and A. IRBÄCK. "FINITE SIZE SCALING ON THE ISING COEXISTENCE LINE." International Journal of Modern Physics C 03, no. 05 (1992): 1119–24. http://dx.doi.org/10.1142/s0129183192000749.

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We report tests of finite-size scaling ansatzes in the low temperature phase of the two-dimensional Ising model. For moments of the magnetisation density, we find good agreement with the new ansatz of Borgs and Kotecký, and clear evidence of violations of the double Gaussian ansatz. We note that certain consequences of the convexity of the free energy are not adequately treated in either of these approaches.
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BISWAS, S., A. SHAW, and D. BISWAS. "SCHRÖDINGER–WHEELER–DEWITT EQUATION IN MULTIDIMENSIONAL COSMOLOGY." International Journal of Modern Physics D 10, no. 04 (2001): 585–93. http://dx.doi.org/10.1142/s0218271801001372.

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We study multidimensional cosmology to obtain the wavefunction of the universe using wormhole dominance proposal. Using a prescription for time we obtain the Schrödinger–Wheeler–DeWitt equation without any reference to WD equation and WKB ansatz for WD wavefunction. It is found that the Hartle–Hawking or wormhole-dominated boundary conditions serve as a seed for inflation as well as for Gaussian type ansatz to Schrödinger–Wheeler–DeWitt equation.
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Dinda, P. Tchofo, K. Nakkeeran, and A. B. Moubissi. "Optimized Hermite-gaussian ansatz functions for dispersion-managed solitons." Optics Communications 187, no. 4-6 (2001): 427–33. http://dx.doi.org/10.1016/s0030-4018(00)01135-4.

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BISWAS, S., A. SHAW, and B. MODAK. "TIME IN QUANTUM GRAVITY." International Journal of Modern Physics D 10, no. 04 (2001): 595–606. http://dx.doi.org/10.1142/s0218271801001384.

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The Wheeler–DeWitt equation in quantum gravity is timeless in character. In order to discuss quantum to classical transition of the universe, one uses a time prescription in quantum gravity to obtain a time contained description starting from Wheeler–DeWitt equation and WKB ansatz for the WD wavefunction. The approach has some drawbacks. In this work, we obtain the time-contained Schrödinger–Wheeler–DeWitt equation without using the WD equation and the WKB ansatz for the wavefunction. We further show that a Gaussian ansatz for SWD wavefunction is consistent with the Hartle–Hawking or wormhole
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Preuss, Roland, and Udo von Toussaint. "Outlier-Robust Surrogate Modeling of Ion–Solid Interaction Simulations." Entropy 25, no. 4 (2023): 685. http://dx.doi.org/10.3390/e25040685.

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Data for complex plasma–wall interactions require long-running and expensive computer simulations. Furthermore, the number of input parameters is large, which results in low coverage of the (physical) parameter space. Unpredictable occasions of outliers create a need to conduct the exploration of this multi-dimensional space using robust analysis tools. We restate the Gaussian process (GP) method as a Bayesian adaptive exploration method for establishing surrogate surfaces in the variables of interest. On this basis, we expand the analysis by the Student-t process (TP) method in order to impro
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Wu, Shu-Guang, and Yang Zhang. "The Nonlinear Field Equation of the Three-point Correlation Function of Galaxies: to the Second Order of Density Perturbation." Research in Astronomy and Astrophysics 22, no. 4 (2022): 045015. http://dx.doi.org/10.1088/1674-4527/ac55ff.

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Abstract Based on the field theory of density fluctuation under Newtonian gravity, we obtain analytically the nonlinear equation of 3-pt correlation function ζ of galaxies in a homogeneous, isotropic, static universe. The density fluctuation has been kept up to second order. By the Fry–Peebles ansatz and the Groth-Peebles ansatz, the equation of ζ becomes closed and differs from the Gaussian approximate equation. Using the boundary condition inferred from the data of SDSS, we obtain the solution ζ(r, u, θ) at fixed u = 2, which exhibits a shallow U-shape along the angle θ and, nevertheless, de
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Darewych, J. W., and A. D. Polozov. "Variational solution of bound states in a charged interacting scalar-field theory." Canadian Journal of Physics 66, no. 11 (1988): 969–71. http://dx.doi.org/10.1139/p88-155.

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Two interacting [Formula: see text] scalar fields in N spatial dimensions are investigated using the Gaussian variational approximation. The interaction is taken to be in the form [Formula: see text]. Two-particle bound-state solutions are obtained in the domain g < 2λ for N = 1 and 2. The nonrelativistic limit, which is also the weak-coupling limit, is shown to correspond to an attractive delta-function interaction. For N = 3, the Gaussian ansatz suggests triviality of the theory, in that the renormalized coupling constant is identically zero.
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Raab, Benedikt, Thomas Srdinko, and Helmut Leeb. "Formulation of Model Defects Suitable for the Resonance Regime." EPJ Web of Conferences 211 (2019): 07006. http://dx.doi.org/10.1051/epjconf/201921107006.

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A method to account for model deficiencies in nuclear data evaluations in the resonance regime is proposed. The method follows the ideas of Schnabel and coworkers and relies on Gaussian processes with a novel problemadapted ansatz for the covariance matrix of model uncertainties extending the formalism to the energy region of resonances. The method was used to evaluate a set of schematic but realistic neutron reaction data generated by an R-matrix code and a well defined model defect. Using the extended ansatz for model defects the Bayesian evaluation successfully recovered the built-in model
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PERCUS, J. K. "INTERFACE STRUCTURE." International Journal of Modern Physics B 13, no. 05n06 (1999): 659–66. http://dx.doi.org/10.1142/s0217979299000552.

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Phase-separated fluids are analyzed from several viewpoints: local thermodynamic, in which all density correlations are ignored; mean field, which correctly treats those at medium range; and a modified Kac-Siegert form which only coarse-grains those at short range. The last form appears as an ensemble average over tail potential fields, and is treated variationally with a Gaussian ansatz. Application to a planar interface shows the anticipated surface softening as any confining field is removed, and in statistically homogeneous condensation, a form of the familiar level set description assumes
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Dissertations / Theses on the topic "Gaussian ansatz"

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Trifa, Youssef. "Dynamiques de corrélations et d'intrication dans des gaz d'atomes froids." Electronic Thesis or Diss., Lyon, École normale supérieure, 2024. http://www.theses.fr/2024ENSL0018.

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Le problème quantique à N corps, notamment l’étude des propriétés dynamiques d’un système quantique composite est l’un des problèmes les plus durs de la physique moderne, car il y a peu de résultats analytiques et les méthodes numériques exactes requièrent des ressources numériques exponentielles en la taille du système. Dans cette thèse, nous avons étudié la mise en évidence de propriétés de corrélations et d’intrication pour des systèmes d’atomes magnétiques sur réseau, par exemple via la compression de spin. Pour cela nous avons mis au point de nouvelles méthodes numériques approchées, qui
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Werther, Michael [Verfasser], Jan Carl [Gutachter] Budich, Uwe [Gutachter] Manthe, and Frank [Akademischer Betreuer] Großmann. "The multi Davydov-Ansatz : Apoptosis of moving Gaussian basis functions with applications to open quantum system dynamics / Michael Werther ; Gutachter: Jan Carl Budich, Uwe Manthe ; Betreuer: Frank Großmann." Dresden : Technische Universität Dresden, 2020. http://d-nb.info/1231917431/34.

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Werther, Michael. "The multi Davydov-Ansatz: Apoptosis of moving Gaussian basis functions with applications to open quantum system dynamics." 2020. https://tud.qucosa.de/id/qucosa%3A72405.

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We utilize the multi Davydov-Ansatz, an Ansatz of the bosonic many-body wave function in terms of moving Gaussian basis functions, to illuminate several aspects of open quantum system dynamics and quantum many-body theory. By two artifices alongside the time-dependent variational principle we extract from this Ansatz, commonly considered ill-behaved and not converging, a highly stable and converging method. Its extremely favourable scaling of the numerical effort with the number of degrees of freedom facilitates exploration of the zero and non-zero temperature physics of both system and envir
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Book chapters on the topic "Gaussian ansatz"

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Lobbe, Alexander, Dan Crisan, and Oana Lang. "Generative Modelling of Stochastic Rotating Shallow Water Noise." In Mathematics of Planet Earth. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-70660-8_1.

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AbstractIn recent work Crisan and co-authors (Foundations of Data Science, 2023), have developed a generic methodology for calibrating the noise in fluid dynamics stochastic partial differential equations where the stochasticity was introduced to parametrize subgrid-scale processes. The stochastic parameterization of sub-grid scale processes is required in the estimation of uncertainty in weather and climate predictions, to represent systematic model errors arising from subgrid-scale fluctuations. The methodology in Crisan (Foundations on Data Science, 2023) used a principal component analysis
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Darewych, Jurij W., Marko Horbatsch, and Roman Koniuk. "Variational Calculations of Particle Masses in Quantum Field Theory: Beyond the Simplest Gaussian Ansatz." In Variational Calculations In Quantum Field Theory. WORLD SCIENTIFIC, 1988. http://dx.doi.org/10.1142/9789814390187_0015.

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Conference papers on the topic "Gaussian ansatz"

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Labruyère, A., P. Tchofo Dinda, A. B. Moubissi, K. Nakkeeran, Y. H. C. Kwan, and P. K. A. Wai. "Analytical design of 160 Gbits/s densely dispersion-managed optical fiber transmission systems using Gaussian and raised cosine RZ ansätze." In Nonlinear Guided Waves and Their Applications. OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.mc45.

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Smith, Michael C., Ondrej Mura´nsky, Philip J. Bendeich, and Lyndon Edwards. "The Impact of Key Simulation Variables on Predicted Residual Stresses in Pressuriser Nozzle Dissimilar Metal Weld Mock-Ups: Part 1—Simulation." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-26023.

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British Energy (BE) has funded a large work programme to assess the possible impact of primary water stress corrosion cracking on dissimilar metal welds in the primary circuit of the Sizewell ‘B’ pressurised water reactor. This effort has included the design and manufacture of representative pressuriser safety/relief valve nozzle welds both with and without a full structural weld overlay, multiple residual stress measurements on both mock-ups using the deep hole and incremental deep hole methods, and a number of finite element weld residual stress simulations of both the mock-ups and equivalen
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Journal articles
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