Relevant bibliographies by topics / Equations de Schrödinger-Maxwell

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

Academic literature on the topic 'Equations de Schrödinger-Maxwell'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Equations de Schrödinger-Maxwell"

1

Zhdanov, Renat, and Maxim Lutfullin. "On separable Schrödinger–Maxwell equations." Journal of Mathematical Physics 39, no. 12 (December 1998): 6454–58. http://dx.doi.org/10.1063/1.532659.

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2

Benci, Vieri, and Donato Fortunato. "Solitons in Schrödinger-Maxwell equations." Journal of Fixed Point Theory and Applications 15, no. 1 (March 2014): 101–32. http://dx.doi.org/10.1007/s11784-014-0184-1.

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3

Ahmed, I., and E. Li. "Simulation of Plasmonics Nanodevices with Coupled Maxwell and Schrödinger Equations using the FDTD Method." Advanced Electromagnetics 1, no. 1 (September 2, 2012): 76. http://dx.doi.org/10.7716/aem.v1i1.40.

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Maxwell and Schrödinger equations are coupled to incorporate quantum effects for the simulation of plasmonics nanodevices. Maxwell equations with Lorentz-Drude (LD) dispersive model are applied to large size plasmonics components, whereas coupled Maxwell and Schrödinger equations are applied to components where quantum effects are needed. The finite difference time domain method (FDTD) is applied to simulate these coupled equations.
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4

D'Aprile, Teresa, and Dimitri Mugnai. "Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 134, no. 5 (October 2004): 893–906. http://dx.doi.org/10.1017/s030821050000353x.

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In this paper we study the existence of radially symmetric solitary waves for nonlinear Klein–Gordon equations and nonlinear Schrödinger equations coupled with Maxwell equations. The method relies on a variational approach and the solutions are obtained as mountain-pass critical points for the associated energy functional.
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5

Boccardo, Lucio, and Luigi Orsina. "A semilinear system of Schrödinger–Maxwell equations." Nonlinear Analysis 194 (May 2020): 111453. http://dx.doi.org/10.1016/j.na.2019.02.007.

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6

Umurzhakhova, Zh B., M. D. Koshanova, Zh Pashen, and K. R. Yesmakhanova. "QUASICLASSICAL LIMIT OF THE SCHRÖDINGER-MAXWELL- BLOCH EQUATIONS." PHYSICO-MATHEMATICAL SERIES 2, no. 336 (April 15, 2021): 179–84. http://dx.doi.org/10.32014/2021.2518-1726.39.

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The study of integrable equations is one of the most important aspects of modern mathematical and theoretical physics. Currently, there are a large number of nonlinear integrable equations that have a physical application. The concept of nonlinear integrable equations is closely related to solitons. An object being in a nonlinear medium that maintains its shape at moving, as well as when interacting with its own kind, is called a soliton or a solitary wave. In many physical processes, nonlinearity is closely related to the concept of dispersion. Soliton solutions have dispersionless properties. Connection with the fact that the nonlinear component of the equation compensates for the dispersion term. In addition to integrable nonlinear differential equations, there is also an important class of integrable partial differential equations (PDEs), so-called the integrable equations of hydrodynamic type or dispersionless (quasiclassical) equations [1-13]. Nonlinear dispersionless equations arise as a dispersionless (quasiclassical) limit of known integrable equations. In recent years, the study of dispersionless systems has become of great importance, since they arise as a result of the analysis of various problems, such as physics, mathematics, and applied mathematics, from the theory of quantum fields and strings to the theory of conformal mappings on the complex plane. Well-known classical methods of the theory of intrinsic systems are used to study dispersionless equations. In this paper, we present the quasicalassical limit of the system of (1+1)-dimensional Schrödinger-Maxwell- Bloch (NLS-MB) equations. The system of the NLS-MB equations is one of the classic examples of the theory of nonlinear integrable equations. The NLS-MB equations describe the propagation of optical solitons in fibers with resonance and doped with erbium. And we will also show the integrability of the quasiclassical limit of the NLS-MB using the obtained Lax representation.
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Benci, Vieri, and Donato Fortunato. "An eigenvalue problem for the Schrödinger-Maxwell equations." Topological Methods in Nonlinear Analysis 11, no. 2 (June 1, 1998): 283. http://dx.doi.org/10.12775/tmna.1998.019.

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8

Xu, Jiafa, Zhongli Wei, Donal O'Regan, and Yujun Cui. "INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRÖDINGER-MAXWELL EQUATIONS." Journal of Applied Analysis & Computation 9, no. 3 (2019): 1165–82. http://dx.doi.org/10.11948/2156-907x.20190022.

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9

Huang, Wen-nian, and X. H. Tang. "Semiclassical solutions for the nonlinear Schrödinger–Maxwell equations." Journal of Mathematical Analysis and Applications 415, no. 2 (July 2014): 791–802. http://dx.doi.org/10.1016/j.jmaa.2014.02.015.

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Kim, Jae-Myoung, and Jung-Hyun Bae. "Infinitely many solutions of fractional Schrödinger–Maxwell equations." Journal of Mathematical Physics 62, no. 3 (March 1, 2021): 031508. http://dx.doi.org/10.1063/5.0028800.

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Dissertations / Theses on the topic "Equations de Schrödinger-Maxwell"

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Thizy, Pierre-Damien. "Effets non-locaux pour des systèmes elliptiques critiques." Thesis, Cergy-Pontoise, 2016. http://www.theses.fr/2016CERG0817.

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Les travaux de cette thèse sont regroupés en trois grandes parties traitant respectivement-des ondes stationnaires des systèmes de Schr"odinger-Maxwell-Proca et de Klein-Gordon-Maxwell-Proca sur une variété riemannienne fermée (compacte sans bord dans toute la thèse),-de systèmes elliptiques de Kirchhoff sur une variété riemannienne fermée,-de phénomènes d'explosion propres aux petites dimensions
This thesis, divided into three main parts, deals with-standing waves for Schrödinger-Maxwell-Proca and Klein-Gordon-Maxwell-Proca systems on a closed Riemannian manifold (compact without boundary during all the thesis),-elliptic Kirchhoff systems on a closed manifold,-low-dimensional blow-up phenomena
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Books on the topic "Equations de Schrödinger-Maxwell"

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Tsutomu, Kitoh, ed. Introduction to optical waveguide analysis: Solving Maxwell's equations and the Schrödinger equation. New York: J. Wiley, 2001.

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2

Kawano, Kenji. Introduction to Optical Waveguide Analysis. New York: John Wiley & Sons, Ltd., 2004.

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3

Bidegaray-Fesquet, Brigitte. Hiérarchie de modèles en optique quantique: De Maxwell-Bloch à Schr̈odinger non-linéaire. Berlin: Springer, 2006.

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4

Kawano, Kenji, and Tsutomu Kitoh. Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrdinger Equation. Wiley-Interscience, 2001.

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5

Bidégaray-Fesquet, Brigitte. Hiérarchie de modèles en optique quantique: De Maxwell-Bloch à Schrödinger non-linéaire (Mathématiques et Applications). Springer, 2005.

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6

Orbiting the Moons of Pluto: Complex Solutions to the Einstein, Maxwell, Schrödinger and Dirac Equations. Singapore: World Scientific Publishers, 2011.

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Book chapters on the topic "Equations de Schrödinger-Maxwell"

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Benci, Vieri, and Donato Fortunato. "The Nonlinear Schrödinger-Maxwell Equations." In Springer Monographs in Mathematics, 183–202. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06914-2_6.

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2

Juarez-Martinez, Gabriela, Alessandro Chiolerio, Paolo Allia, Martino Poggio, Christian L. Degen, Li Zhang, Bradley J. Nelson, et al. "Maxwell–Schrödinger Simulations (or Equations)." In Encyclopedia of Nanotechnology, 1275. Dordrecht: Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-90-481-9751-4_100384.

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Ben-Artzi, Matania, and Jonathan Nemirovsky. "Resolvent Estimates for Schrödinger-Type and Maxwell Equations with Applications." In Spectral and Scattering Theory, 19–31. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4899-1552-8_2.

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4

Ghimenti, Marco, and Anna Maria Micheletti. "Low Energy Solutions for the Semiclassical Limit of Schrödinger–Maxwell Systems." In Analysis and Topology in Nonlinear Differential Equations, 287–300. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04214-5_17.

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5

Scully, Marlan O. "The Time-Dependent Schrödinger Equation Revisited: Quantum Optical and Classical Maxwell Routes to Schrödinger’s Wave Equation." In Time in Quantum Mechanics II, 15–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03174-8_2.

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6

Yesmahanova, K. R., G. N. Shaikhova, G. T. Bekova, and Zh R. Myrzakulova. "Determinant Reprentation of Dardoux Transformation for the (2+1)-Dimensional Schrödinger-Maxwell-Bloch Equation." In Intelligent Mathematics II: Applied Mathematics and Approximation Theory, 183–98. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30322-2_13.

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7

"Maxwell–Schrödinger Simulations (or Equations)." In Encyclopedia of Nanotechnology, 1904. Dordrecht: Springer Netherlands, 2016. http://dx.doi.org/10.1007/978-94-017-9780-1_100517.

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8

"Reduction of the Maxwell–Schrödinger equations." In Theoretical Problems in Cavity Nonlinear Optics, 1–14. Cambridge University Press, 1997. http://dx.doi.org/10.1017/cbo9780511529337.002.

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9

Tiwari, Sandip. "Entropy, information and energy." In Semiconductor Physics, 58–77. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.003.0002.

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Chapter 2 brings forth the links between entropy and energy through their intimate link to information. Probabilities—as a statistical tool when there are unknowns—connect to information as well as to the various forms of entropy. Entropy is a variable introduced to characterize circumstances involving unknowns. Boltzmann entropy, von Neumann entropy, Shannon entropy and others can be viewed through this common viewpoint. This chapter broadens this discussion to include Fisher entropy—a measure that stresses locality—and the principle of minimum negentropy (or maximum entropy) to show how a variety of physical descriptions represented by equations such as the Schrödinger equation, diffusion equations, Maxwell-Boltzmann distributions, et cetera, can be seen through a probabilistic information-centric perspective.
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Tiwari, Sandip. "Quantum to macroscale and linear response." In Semiconductor Physics, 521–40. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.003.0014.

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This chapter focuses on the properties associated with linear response. Reversibility holds in linear transformations. Schrödinger and Maxwell equations are linear, yet the world is irreversible, with time marching forward and dissipation quite ubiquitous. The connections between the quantum and microscopic scale, which are reversible and non-deterministic, to the macroscale, where irreversibility and determinism abounds, arise through interactions where both linear and nonlinear responses can appear. Causality’s implication in linear response is illustrated through a toy example and a quantum-statistical view of response. Linear response theory—using Green’s functions—is applied to develop dispersion relationships and dielectric function. The tie-in between real and imaginary parts is illustrated as one example of the Kramers-Kronig relationship, and the linear response of a damped oscillator and the Lorentz model, together with the oscillating electron model, employed to illustrate the dielectric function implications.
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Conference papers on the topic "Equations de Schrödinger-Maxwell"

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Chen, Yongpin P., Yu Mao Wu, and Wei E. I. Sha. "Modeling Rabi oscillation by rigorously solving Maxwell-Schrödinger equation." In 2015 IEEE 6th International Symposium on Microwave, Antenna, Propagation, and EMC Technologies (MAPE). IEEE, 2015. http://dx.doi.org/10.1109/mape.2015.7510448.

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