Academic literature on the topic 'Poisson-Schrödinger'

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Journal articles on the topic "Poisson-Schrödinger"

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Illner, Reinhard. "The Wigner-Poisson and Schrödinger-poisson systems." Transport Theory and Statistical Physics 21, no. 4-6 (1992): 753–67. http://dx.doi.org/10.1080/00411459208203807.

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Ambrosetti, Antonio. "On Schrödinger-Poisson Systems." Milan Journal of Mathematics 76, no. 1 (2008): 257–74. http://dx.doi.org/10.1007/s00032-008-0094-z.

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LÓPEZ, J. L., and J. SOLER. "ASYMPTOTIC BEHAVIOR TO THE 3-D SCHRÖDINGER/HARTREE–POISSON AND WIGNER–POISSON SYSTEMS." Mathematical Models and Methods in Applied Sciences 10, no. 06 (2000): 923–43. http://dx.doi.org/10.1142/s0218202500000471.

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Using an appropriate scaling group for the 3-D Schrödinger–Poisson equation and the equivalence between the Schrödinger formalism and the Wigner representation of quantum mechanics it is proved that, when time goes to infinity, the limit of the rescaled self-consistent potential can be identified as the Coulomb potential. As a consequence, Schrödinger–Poisson and Wigner–Poisson systems are asymptotically simplified and their long-time behavior is explained through the solutions of the corresponding linear limit problems.
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Azzollini, Antonio, and Pietro d’Avenia. "Generalized Schrödinger-Poisson type systems." Communications on Pure and Applied Analysis 12, no. 2 (2012): 867–79. http://dx.doi.org/10.3934/cpaa.2013.12.867.

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Batkam, Cyril Joel, and João R. Santos Júnior. "Schrödinger-Kirchhoff-Poisson type systems." Communications on Pure and Applied Analysis 15, no. 2 (2016): 429–44. http://dx.doi.org/10.3934/cpaa.2016.15.429.

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Mauser, N. J. "The Schrödinger-Poisson-Xα equation". Applied Mathematics Letters 14, № 6 (2001): 759–63. http://dx.doi.org/10.1016/s0893-9659(01)80038-0.

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Lange, Horst, B. Toomire, and P. F. Zweifel. "The Schrödinger–Poisson Eigenmatrix Problem." Journal of Mathematical Analysis and Applications 203, no. 2 (1996): 289–302. http://dx.doi.org/10.1006/jmaa.1996.0381.

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JIN, SHI, XIAOMEI LIAO, and XU YANG. "THE VLASOV–POISSON EQUATIONS AS THE SEMICLASSICAL LIMIT OF THE SCHRÖDINGER–POISSON EQUATIONS: A NUMERICAL STUDY." Journal of Hyperbolic Differential Equations 05, no. 03 (2008): 569–87. http://dx.doi.org/10.1142/s021989160800160x.

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In this paper, we numerically study the semiclassical limit of the Schrödinger–Poisson equations as a selection principle for the weak solution of the Vlasov–Poisson in one space dimension. Our numerical results show that this limit gives the weak solution that agrees with the zero diffusion limit of the Fokker–Planck equation. We also numerically justify the multivalued solution given by a moment system of the Vlasov–Poisson equations as the semiclassical limit of the Schrödinger–Poisson equations.
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Neidhardt, H., and J. Rehberg. "Uniqueness for Dissipative Schrödinger-Poisson Systems." Journal of Mathematical Physics 46, no. 11 (2005): 113513. http://dx.doi.org/10.1063/1.2121187.

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Abdallah, Naoufel Ben, and Florian Méhats. "On a Vlasov–Schrödinger–Poisson Model." Communications in Partial Differential Equations 29, no. 1-2 (2005): 173–206. http://dx.doi.org/10.1081/pde-120028849.

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Dissertations / Theses on the topic "Poisson-Schrödinger"

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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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Rodriguez, Edwin Gonzalo Murcia. "Positive solutions for Schrödinger-Poisson type systems." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-17122017-094108/.

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In this thesis we study Schrödinger-Poisson systems and we look for positive solutions. Our work consists in three chapters. Chapter 1 includes some basic facts on critical point theory. In Chapter 2 we consider a fractional Schrödinger-Poisson system in the whole space R^N in presence of a positive potential and depending on a small positive parameter . We show that, for suitably small (i.e. in the \"semiclassical limit\") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential. Finally, in Chapter 3, we analyze a Sc
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Batista, Alex de Moura. "Sobre um Sistema do tipo Schrödinger-Poisson." Universidade Federal da Paraí­ba, 2012. http://tede.biblioteca.ufpb.br:8080/handle/tede/7369.

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Made available in DSpace on 2015-05-15T11:46:04Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 695566 bytes, checksum: 26f7afc275ad83fa634352b9d522415e (MD5) Previous issue date: 2012-04-26<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this dissertation, we study the existence of two types of non-negative weak solutions for a class of problems of Schrodinger-Poisson type. This kind of problem models, for example, several physical phenomena in quantum mechanics. Initially, by minimization arguments, Splitting Lemma and the Variational Principle of Ekeland w
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LIMA, Romildo Nascimento de. "Sobre sistemas de equações do tipo Schrödinger-Poisson." Universidade Federal de Campina Grande, 2013. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1362.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-06T15:14:18Z No. of bitstreams: 1 ROMILDO NASCIMENTO DE LIMA - DISSERTAÇÃO PPGMAT 2013..pdf: 632336 bytes, checksum: 5661cad2fea6b9bb474c05bca0983c4b (MD5)<br>Made available in DSpace on 2018-08-06T15:14:18Z (GMT). No. of bitstreams: 1 ROMILDO NASCIMENTO DE LIMA - DISSERTAÇÃO PPGMAT 2013..pdf: 632336 bytes, checksum: 5661cad2fea6b9bb474c05bca0983c4b (MD5) Previous issue date: 2013-02<br>Capes<br>Neste trabalho estaremos interessados em estudar resultados de existência e não existência de solução, comportamento do funcion
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Oliveira, Alcionio Saldanha de. "Multiplicidade de soluções para sistemas do tipo Schrödinger-Poisson." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7439.

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Made available in DSpace on 2015-05-15T11:46:20Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 700931 bytes, checksum: e90ff8d817f64f35c7f45fb88026619e (MD5) Previous issue date: 2014-04-15<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work, we will use the Mountain Pass Theorem, Ekeland s Variational Principle, the Concentration-Compactness Principle, the Brezis & Nirenberg Method, Penalization Method and some properties involving Nehari manifolds to obtain existence and multiplicity of solutions for the following class of elliptic systems. () 8<:
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Huang, Lirong. "Multiplicity results for some classes of Schrödinger-Poisson systems." Doctoral thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/12867.

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Doutoramento conjunto em Matemática - Matemática e Aplicações (PDMA)<br>In this thesis, we study the existence and multiplicity of solutions of the following class of Schr odinger-Poisson systems: 􀀀 u + u + l(x) u = (x; u) in R3; 􀀀 = l(x)u2 in R3; where l 2 L2(R3) or l 2 L1(R3). And we consider that the nonlinearity satis es the following three kinds of cases: (i) a subcritical exponent with (x; u) = k(x)jujp􀀀2u + h(x)u (4 p < 2 ) under an inde nite case; (ii) a general inde nite nonlinearity with (x; u) = k(x)g(u) + h(x)u; (iii) a critical growth exponent with (x; u) =
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Dabaa, Amna. "Comportement asymptotique des solutions d’un système de Schrödinger-Poisson en dimension trois d’espace." Amiens, 2010. http://www.theses.fr/2010AMIE0126.

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Nous étudions le comportement pour les grands temps des solutions de l’équation de Schrödinger-Poisson (NLSP) avec un terme de force extérieure supplémentaire et un terme de dissipation d’ordre zéro. L’équation de Schrödinger-Poisson, appelée aussi équation de Hartree, présentée avec amortissement et force extérieure, s’écrit {ut + γu + i∆u + iuφ = f, (3. 60) {±∆φ = |u|2. L’équation ±∆φ = |u|2 avec le signe −, i. E −∆φ = |u|2 correspond au cas focalisant, avec le signe + correspond au cas défocalisant. Notre travail se divise en deux parties. Dans la première partie, on travaille avec des cond
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Alamkan, Jocelyn. "Etude théorique des couches actives AlGaAs/lnGaAs/GaAs à l'aide d'un modèle de résolution autocohérente des équations de Schrödinger et de Poisson." Lille 1, 1993. http://www.theses.fr/1993LIL10051.

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La croissance d'une couche de algaas dopee n#+# au silicium sur une couche de ingaas sur un substrat gaas, permet d'obtenir la couche active d'un transistor ou le canal ingaas constitue un puits quantique dans lequel s'accumulent des electrons liberes par les impuretes de la couche dopee. Le materiau ingaas ayant un parametre de maille superieur a celui du substrat gaas, il est soumis a des contraintes qui modifient sa structure de bande. Le composant realise avec une telle couche active est designe sous le sigle de pm-hemt (pseudomorphic high electron mobility transistor). L'objet de ce trava
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Kefi, Jihène. "Analyse mathématique et numérique de modèles quantiques pour les semiconducteurs." Toulouse 3, 2003. http://www.theses.fr/2003TOU30186.

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Patel, Mamodyasine. "Développement de modèles macroscopiques pour des systèmes quantiques non linéaires hors équilibre." Phd thesis, Université Rennes 1, 2005. http://tel.archives-ouvertes.fr/tel-00008345.

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Cette thèse a pour objectif de proposer un modèle mathématique pour le transport électronique hors-équilibre dans des systèmes mésoscopiques tels que les hétérostuctures ou les super-réseaux. On est amené à faire une étude asymptotique de systèmes non-linéaires stationnaires 1D du type Schrödinger-Poisson hors-équilibre. Le potentiel présente des sauts ainsi que des puits quantiques ponctuels à la limite. Pour l'étude non-linéaire à proprement parler, on établit l'existence de solutions asymptotiques, et que celles-ci sont déterminées par un nombre fini de paramètres. Néanmoins, le gros de l'é
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Book chapters on the topic "Poisson-Schrödinger"

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Unterberger, Jérémie, and Claude Roger. "Poisson Structures and Schrödinger Operators." In Theoretical and Mathematical Physics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22717-2_10.

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Rauber, Thomas, and Gudula Rünger. "Parallel solution of a Schrödinger-Poisson system." In High-Performance Computing and Networking. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0046702.

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Bokanowski, Olivier, José L. López, Óscar Sánchez, and Juan Soler. "Long Time Behaviour to the Schrödinger–Poisson–Xα Systems." In Mathematical Physics of Quantum Mechanics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-34273-7_17.

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Ambrosio, Vincenzo. "An Existence Result for a Fractional Kirchhoff–Schrödinger–Poisson System." In Nonlinear Fractional Schrödinger Equations in R^N. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60220-8_14.

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Germinet, François, Peter Hislop, and Abel Klein. "Localization at low energies for attractive Poisson random Schrödinger operators." In Probability and Mathematical Physics. American Mathematical Society, 2007. http://dx.doi.org/10.1090/crmp/042/08.

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Trellakis, Alex, Till Andlauer, and Peter Vogl. "Efficient Solution of the Schrödinger-Poisson Equations in Semiconductor Device Simulations." In Large-Scale Scientific Computing. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11666806_69.

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Pisani, Lorenzo, and Gaetano Siciliano. "Normalized Solutions for a Schrödinger–Poisson System Under a Neumann Condition." In Analysis and Topology in Nonlinear Differential Equations. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04214-5_21.

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Ambrosio, Vincenzo. "Multiplicity and Concentration Results for a Fractional Schrödinger-Poisson System with Critical Growth." In Nonlinear Fractional Schrödinger Equations in R^N. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60220-8_13.

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Stoiciu, Mihai. "Poisson statistics for eigenvalues: From random Schrödinger operators to random CMV matrices." In Probability and Mathematical Physics. American Mathematical Society, 2007. http://dx.doi.org/10.1090/crmp/042/24.

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Bechouche, Philippe, Norbert J. Mauser, and Sigmund Selberg. "Derivation of Schrödinger Poisson as the Non-relativistic Limit of Klein-Gordon Maxwell." In Hyperbolic Problems: Theory, Numerics, Applications. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55711-8_32.

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Conference papers on the topic "Poisson-Schrödinger"

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Tong, Yanchun, and Decai Sun. "Multiple Solutions for the Nonhomogeneous Schrödinger-Poisson Equations Involving the Fractional Laplacian." In 2018 17th International Symposium on Distributed Computing and Applications for Business Engineering and Science (DCABES). IEEE, 2018. http://dx.doi.org/10.1109/dcabes.2018.00092.

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Mahapatra, Roy D., Roderick V. N. Melnik, Morten Willatzen, Benny Lassen, and Lok Lew Yan Voon. "Poisson-Schrödinger Model in the Analysis of Coupled Effects in Quantum Well Nanostructures." In 2006 Conference on Optoelectronic and Microelectronic Materials and Devices. IEEE, 2006. http://dx.doi.org/10.1109/commad.2006.4429936.

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IVANOV, A. M., and G. P. VENKOV. "EXISTENCE AND UNIQUENESS RESULTS FOR THE SCHRÖDINGER — POISSON SYSTEM BELOW THE ENERGY NORM." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0015.

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Noei, Maziar, Dino Ruic, and Christoph Jungemann. "Small-signal analysis of silicon nanowire transistors based on a Poisson/Schrödinger/Boltzmann solver." In 2017 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD). IEEE, 2017. http://dx.doi.org/10.23919/sispad.2017.8085265.

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Noei, Maziar, and Christoph Jungemann. "Numerical investigation of junctionless nanowire transistors using a Boltzmann/Schrödinger/Poisson full Newton-Raphson solver." In 2016 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD). IEEE, 2016. http://dx.doi.org/10.1109/sispad.2016.7605137.

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Kantner, Markus. "Simulation of quantum light sources using the self-consistently coupled Schrödinger-Poisson-Drift-Diffusion-Lindblad syste." In 2019 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2019. http://dx.doi.org/10.1109/nusod.2019.8806869.

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Kantner, Markus, Thomas Koprucki, Hans-Jurgen Wunsche, and Uwe Bandelow. "Simulation of quantum dot based single-photon sources using the Schrödinger-Poisson-Drift-Diffusion-Lindblad system." In 2019 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD). IEEE, 2019. http://dx.doi.org/10.1109/sispad.2019.8870459.

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Uslu, Salih, and Zeki Yarar. "Self consistent solution of Schrödinger Poisson equations and some electronic properties of ZnMgO/ZnO hetero structures." In TURKISH PHYSICAL SOCIETY 32ND INTERNATIONAL PHYSICS CONGRESS (TPS32). Author(s), 2017. http://dx.doi.org/10.1063/1.4976395.

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Al-Ameri, Talib, V. P. Georgiev, Fikru Adamu-Lema, and Asen Asenov. "Does a nanowire transistor follow the golden ratio? A 2D Poisson-Schrödinger/3D Monte Carlo simulation study." In 2017 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD). IEEE, 2017. http://dx.doi.org/10.23919/sispad.2017.8085263.

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Chen, J. J., A. K. Chan, and C. K. Chui. "Simulations of Space-charge Effects on Quantum-Well Devices using Self-Consistent Solution to the Schrödinger-Poisson Equations." In Integrated Photonics Research. OSA, 1993. http://dx.doi.org/10.1364/ipr.1993.iwe2.

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