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Relevant bibliographies by topics / Schrödinger, Equation de

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Dissertations / Theses

Academic literature on the topic 'Schrödinger, Equation de'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 October 2024

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Dissertations / Theses on the topic "Schrödinger, Equation de"

1

Di, Cosmo Jonathan. "Nonlinear Schrödinger equation and Schrödinger-Poisson system in the semiclassical limit." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209863.

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The nonlinear Schrödinger equation appears in different fields of physics, for example in the theory of Bose-Einstein condensates or in wave propagation models. From a mathematical point of view, the study of this equation is interesting and delicate, notably because it can have a very rich set of solutions with various behaviours.<p><p>In this thesis, we have been interested in standing waves, which satisfy an elliptic partial differential equation. When this equation is seen as a singularly perturbed problem, its solutions concentrate, in the sense that they converge uniformly to zero outsid

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2

Mugassabi, Souad. "Schrödinger equation with periodic potentials." Thesis, University of Bradford, 2010. http://hdl.handle.net/10454/4895.

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The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem of finding the eigenvectors of an infinite matrix. The infinite matrix is truncated to a finite matrix. The approximation due to the truncation is carefully studied. The band structure of the eigenvalues is shown. The eigenvectors of the multiwells potential are presented. The solutions of Schrödinger equation are calculated. The results are very sensitive to the value of the parameter y. Localized solutions, in the case that the energy is slightly greater than the maximum value of the potential

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3

Zhang, Deng [Verfasser]. "Stochastic nonlinear Schrödinger equation / Deng Zhang." Bielefeld : Universitätsbibliothek Bielefeld, 2014. http://d-nb.info/1048210359/34.

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4

Banica, Manuela Valeria. "Equation de Schrödinger en milieu inhomogène." Paris 11, 2003. http://www.theses.fr/2003PA112190.

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Cette thèse concerne l'étude de l'équation de Schrödinger et l'impact de l'inhomogénéité du milieu sur les propriétés qualitatives des solutions: propriétés dispersives et existence locale pour l'équation non-linéaire à coefficients variables, phénomènes d'instabilité sur une variété compacte, explosion en temps fini pour le problème de Dirichlet sur un domaine. Dans la première partie on montre la dispersion et les inégalités de Strichartz globales pour l'équation en une dimension, à coefficients fonctions en escalier. On montre aussi que l'inégalité de dispersion n'est plus vraie pour certai

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5

Kazemi, Parimah. "Compact Operators and the Schrödinger Equation." Thesis, University of North Texas, 2006. https://digital.library.unt.edu/ark:/67531/metadc5453/.

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In this thesis I look at the theory of compact operators in a general Hilbert space, as well as the inverse of the Hamiltonian operator in the specific case of L2[a,b]. I show that this inverse is a compact, positive, and bounded linear operator. Also the eigenfunctions of this operator form a basis for the space of continuous functions as a subspace of L2[a,b]. A numerical method is proposed to solve for these eigenfunctions when the Hamiltonian is considered as an operator on Rn. The paper finishes with a discussion of examples of Schrödinger equations and the solutions.

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6

Middlemas, Erin. "Soliton Solutions of the Nonlinear Schrödinger Equation." Digital Commons @ East Tennessee State University, 2013. https://dc.etsu.edu/honors/66.

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The nonlinear Schrödinger equation is a classical field equation that describes weakly nonlinear wave-packets in one-dimensional physical systems. It is in a class of nonlinear partial differential equations that pertain to several physical and biological systems. In this project we apply a pseudo-spectral solution-estimation method to a modified version of the nonlinear Schrödinger equation as a means of searching for solutions that are solitons, where a soliton is a self-reinforcing solitary wave that maintains its shape over time. The pseudo-spectral method estimates solutions by utilizing

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7

Bader, Philipp Karl-Heinz. "Geometric Integrators for Schrödinger Equations." Doctoral thesis, Universitat Politècnica de València, 2014. http://hdl.handle.net/10251/38716.

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The celebrated Schrödinger equation is the key to understanding the dynamics of quantum mechanical particles and comes in a variety of forms. Its numerical solution poses numerous challenges, some of which are addressed in this work. Arguably the most important problem in quantum mechanics is the so-called harmonic oscillator due to its good approximation properties for trapping potentials. In Chapter 2, an algebraic correspondence-technique is introduced and applied to construct efficient splitting algorithms, based solely on fast Fourier transforms, which solve quadratic potentials in

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8

Vladimir, Lončar. "Hybrid parallel algorithms for solving nonlinear Schrödinger equation." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2017. https://www.cris.uns.ac.rs/record.jsf?recordId=104931&source=NDLTD&language=en.

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Numerical methods and algorithms for solving of partial differential equations, especially parallel algorithms, are an important research topic, given the very broad applicability range in all areas of science. Rapid advances of computer technology open up new possibilities for development of faster algorithms and numerical simulations of higher resolution. This is achieved through paralleliza-tion at different levels that  practically all current computers support.In this thesis we develop parallel algorithms for solving one kind of partial differential equations known as nonlinear Schr&

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9

Win, Yin Yin Su. "Unconditional uniqueness of the derivative nonlinear Schrödinger equation." 京都大学 (Kyoto University), 2009. http://hdl.handle.net/2433/124386.

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10

Moyano, Garcia Iván. "Controllability of of some kinetic equations, of parabolic degenerated equations and of the Schrödinger equation via domain transformation." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX062/document.

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Ce mémoire présente les travaux réalisés au cours de ma thèse dans le but d'étudier la contrôlabilité de quelques équations aux dérivées partielles. La première partie de cette thèse est consacrée à l'étude de la contrôlabilité de quelques équations cinétiques en différents régimes. Dans un régime collisionnel, nous étudions la contrôlabilité de l'équation de Kolmogorov, un modèle de type Fokker-Planck cinétique, posée dans l'espace de phases $R^d times R^d$. Nous obtenons la contrôlabilité à zéro de cette équation grâce à l'utilisation d'une inégalité spectrale associée à l'opérateur Laplacie

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