Academic literature on the topic 'Microlocal and semiclassical analysis'
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Journal articles on the topic "Microlocal and semiclassical analysis":
Vasy, András, and Jared Wunsch. "Semiclassical second microlocal propagation of regularity and integrable systems." Journal d'Analyse Mathématique 108, no. 1 (May 2009): 119–57. http://dx.doi.org/10.1007/s11854-009-0020-5.
Sales, Jorge Henrique de Oliveira, and Rômulo Damasclin Chaves dos Santos. "An essay on semiclassical analysis for microlocal singularities, turbulence intensity and integration of singularities by Schrödinger equation in probabilistic behavior." OBSERVATÓRIO DE LA ECONOMÍA LATINOAMERICANA 22, no. 5 (May 20, 2024): e4751. http://dx.doi.org/10.55905/oelv22n5-127.
SAFAROV, YURI. "AN INTRODUCTION TO SEMICLASSICAL AND MICROLOCAL ANALYSIS (Universitext) By ANDRÉ MARTINEZ: 190 pp., £49.00 (US$59.95), ISBN 0-387-95344-2 (Springer, New York, 2002)." Bulletin of the London Mathematical Society 35, no. 05 (August 13, 2003): 716–17. http://dx.doi.org/10.1112/s002460930324933x.
Vasy, András, and Jared Wunsch. "Erratum to: “semiclassical second microlocal propagation of regularity and integrable systems”." Journal d'Analyse Mathématique 115, no. 1 (June 2011): 389–91. http://dx.doi.org/10.1007/s11854-011-0033-8.
Herbin, Erick, and Jacques Lévy-Véhel. "Stochastic 2-microlocal analysis." Stochastic Processes and their Applications 119, no. 7 (July 2009): 2277–311. http://dx.doi.org/10.1016/j.spa.2008.11.005.
Pilipović, Stevan. "Microlocal analysis of ultradistributions." Proceedings of the American Mathematical Society 126, no. 1 (1998): 105–13. http://dx.doi.org/10.1090/s0002-9939-98-04357-3.
Sjöstrand, Johannes. "Resonances and microlocal analysis." International Journal of Quantum Chemistry 31, no. 5 (May 1987): 733–37. http://dx.doi.org/10.1002/qua.560310505.
Martinez, André, and Vania Sordoni. "Microlocal WKB Expansions." Journal of Functional Analysis 168, no. 2 (November 1999): 380–402. http://dx.doi.org/10.1006/jfan.1999.3460.
Delort, Jean-Marc. "Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations." Annales de l'Institut Fourier 66, no. 4 (2016): 1451–528. http://dx.doi.org/10.5802/aif.3041.
Salo, Mikko. "Applications of Microlocal Analysis in Inverse Problems." Mathematics 8, no. 7 (July 18, 2020): 1184. http://dx.doi.org/10.3390/math8071184.
Dissertations / Theses on the topic "Microlocal and semiclassical analysis":
Prouff, Antoine. "Correspondance classique-quantique et application au contrôle d'équations d'ondes et de Schrödinger dans l'espace euclidien." Electronic Thesis or Diss., université Paris-Saclay, 2024. https://theses.hal.science/tel-04634673.
Wave and Schrödinger equations model a variety of phenomena, such as propagation of light, vibrating structures or the time evolution of a quantum particle. In these models, the high-energy asymptotics can be approximated by classical mechanics, as geometric optics. In this thesis, we study several applications of this principle to control problems for wave and Schrödinger equations in the Euclidean space, using microlocal analysis.In the first two chapters, we study the damped wave equation and the Schrödinger equation with a confining potential in the euclidean space. We provide necessary and sufficient conditions for uniform stability in the first case, or observability in the second one. These conditions involve the underlying classical dynamics which consists in a distorted version of geometric optics, due to the presence of the potential.Then in the third part, we analyze the quantum-classical correspondence principle in a general setting that encompasses the two aforementioned problems. We prove a version of Egorov's theorem in the Weyl--Hörmander framework of metrics on the phase space. We provide with various examples of application of this theorem for Schrödinger, half-wave and transport equations
Le, Floch Yohann. "Théorie spectrale inverse pour les opérateurs de Toeplitz 1D." Phd thesis, Université Rennes 1, 2014. http://tel.archives-ouvertes.fr/tel-01065441.
Tarkhanov, Nikolai, and Nikolai Vasilevski. "Microlocal analysis of the Bochner-Martinelli integral." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/3001/.
Schultka, Konrad. "Microlocal analyticity of Feynman integrals." Doctoral thesis, Humboldt-Universität zu Berlin, 2019. http://dx.doi.org/10.18452/20161.
We give a rigorous construction of analytically regularized Feynman integrals in D-dimensional Minkowski space as meromorphic distributions in the external momenta, both in the momentum and parametric representation. We show that their pole structure is given by the usual power-counting formula and that their singular support is contained in a microlocal generalization of the alpha-Landau surfaces. As further applications, we give a construction of dimensionally regularized integrals in Minkowski space and prove discontinuity formula for parametric amplitudes.
Ramaseshan, Karthik. "Microlocal analysis of the doppler transform on R³ /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/5739.
Welch, Barry Alan. "Semiclassical analysis of vibroacoustic systems." Thesis, University of Southampton, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.433930.
Webber, James. "Radon transforms and microlocal analysis in Compton scattering tomography." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/radon-transforms-and-microlocal-analysis-in-compton-scattering-tomography(c1ad3583-01ce-4147-8576-2e635090cb15).html.
Conrady, Florian. "Semiclassical analysis of loop quantum gravity." [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=982087144.
Conrady, Florian. "Semiclassical analysis of loop quantum gravity." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2006. http://dx.doi.org/10.18452/15549.
In this Ph.D. thesis, we explore and develop new methods that should help in determining an effective semiclassical description of canonical loop quantum gravity and spin foam gravity. A brief introduction to loop quantum gravity is followed by three research papers that present the results of the Ph.D. project. In the first article, we deal with the problem of time and a new proposal for implementing proper time as boundary conditions in a sum over histories: we investigate a concrete realization of this formalism for free scalar field theory. In the second article, we translate semiclassical states of linearized gravity into states of loop quantum gravity. The properties of the latter indicate how semiclassicality manifests itself in the loop framework, and how this may be exploited for doing semiclassical expansions. In the third part, we propose a new formulation of spin foam models that is fully triangulation- and background-independent: by means of a symmetry condition, we identify spin foam models whose triangulation-dependence can be naturally removed.
Teloni, Daniele. "Semiclassical analysis of systems of Schrödinger equations." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/19239/.
Books on the topic "Microlocal and semiclassical analysis":
Martinez, André. An Introduction to Semiclassical and Microlocal Analysis. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-4495-8.
Zworski, Maciej. Semiclassical analysis. Providence, R.I: American Mathematical Society, 2012.
Kyōto Daigaku. Sūri Kaiseki Kenkyūjo. Microlocal analysis and asymptotic analysis. [Kyoto]: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2004.
Bony, Jean Michel, Gerd Grubb, Lars Hörmander, Hikosaburo Komatsu, and Johannes Sjöstrand. Microlocal Analysis and Applications. Edited by Lamberto Cattabriga and Luigi Rodino. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0085120.
Garnir, H. G., ed. Advances in Microlocal Analysis. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4606-4.
Kashiwara, Masaki. Introduction to microlocal analysis. Gene ve: L'Enseignement mathe matique, Universite de Gene ve, 1986.
NATO Advanced Study Institute on Advances in Microlocal analysis (1985 Castelvecchio Pascoli, Italy). Advances in microlocal analysis. Dordrecht: D. Reidel Pub. Co., 1986.
Takahiro, Kawai, Fujita Keiko, and Kyōto Daigaku. Sūri Kaiseki Kenkyūjo., eds. Microlocal analysis and complex Fourier analysis. River Edge, NJ: World Scientific, 2002.
Rodino, Luigi, ed. Microlocal Analysis and Spectral Theory. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5626-4.
Beals, Michael, Richard B. Melrose, and Jeffrey Rauch, eds. Microlocal Analysis and Nonlinear Waves. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4613-9136-4.
Book chapters on the topic "Microlocal and semiclassical analysis":
Ivrii, Victor. "Introduction to Semiclassical Microlocal Analysis." In Springer Monographs in Mathematics, 21–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-12496-3_2.
Ivrii, Victor. "Complete Differentiable Semiclassical Spectral Asymptotics." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, 607–18. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30561-1_35.
Ivrii, Victor. "Bethe-Sommerfeld Conjecture in Semiclassical Settings." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, 619–39. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30561-1_36.
Ivrii, Victor. "Standard Local Semiclassical Spectral Asymptotics near the Boundary." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications I, 623–741. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30557-4_7.
Paul, T. "Recent Results in Semiclassical Approximation with Rough Potentials." In Microlocal Methods in Mathematical Physics and Global Analysis, 49–52. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0466-0_11.
Datchev, Kiril, and András Vasy. "Propagation Through Trapped Sets and Semiclassical Resolvent Estimates." In Microlocal Methods in Mathematical Physics and Global Analysis, 7–10. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0466-0_2.
Ivrii, Victor. "Standard Local Semiclassical Spectral Asymptotics near the Boundary. Miscellaneous." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications I, 742–800. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30557-4_8.
Hassell, Andrew, and Victor Ivrii. "Spectral Asymptotics for the Semiclassical Dirichlet to Neumann Operator." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, 468–94. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30561-1_29.
Ivrii, Victor. "Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, 583–606. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30561-1_34.
Alazard, Thomas, and Claude Zuily. "Microlocal Analysis." In Universitext, 61–73. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50284-3_5.
Conference papers on the topic "Microlocal and semiclassical analysis":
Chang, Kung-ching, Yu-min Huang, and Ta-tsien Li. "Nonlinear Analysis and Microlocal Analysis." In International Conference at the Nankai Institute of Mathematics. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537841.
Cheney, Margaret, and Brett Borden. "Microlocal analysis of GTD-based SAR models." In Defense and Security, edited by Edmund G. Zelnio and Frederick D. Garber. SPIE, 2005. http://dx.doi.org/10.1117/12.602982.
Marti, Jean-André. "Sheaf theory and regularity. Application to local and microlocal analysis." In Linear and Non-Linear Theory of Generalized Functions and its Applications. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc88-0-17.
Tsobanjan, Artur, Jerzy Kowalski-Glikman, R. Durka, and M. Szczachor. "Semiclassical Analysis of Constrained Quantum Systems." In THE PLANCK SCALE: Proceedings of the XXV Max Born Symposium. AIP, 2009. http://dx.doi.org/10.1063/1.3284397.
Rinaldi, Steven M., and John H. Erkkila. "Semiclassical Modeling And Analysis Of Injected Lasers." In OE/LASE '89, edited by Donald L. Bullock. SPIE, 1989. http://dx.doi.org/10.1117/12.951317.
Imai, R., J. Takahashi, T. Oyama, and Y. Yamanaka. "Semiclassical analysis of driven-dissipative excitonic condensation." In PROCEEDINGS OF THE 14TH ASIA-PACIFIC PHYSICS CONFERENCE. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0037248.
CARAZZA, B. "ON THE DECOHERENCE OF A FREE SEMICLASSICAL POSITRONIUM." In Historical Analysis and Open Questions. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812793560_0007.
Franco, Daniel Heber Teodoro. "Paley-Wiener-Schwartz Theorem and Microlocal Analysis of Singularities in Theory of Tempered Ultrahyperfunctions." In Fifth International Conference on Mathematical Methods in Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.031.0047.
Yang, Jaw-Yen, Li-Hsin Hung, Sheng-Hsin Hu, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Simulation of MicroChannel Flows Using a Semiclassical Lattice Boltzmann Method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241532.
Czuma, Pawel, and Pawel Szczepański. "Analysis of light generation in 2D photonic crystal laser: semiclassical approach." In SPIE Proceedings, edited by Wieslaw Wolinski, Zdzislaw Jankiewicz, and Ryszard S. Romaniuk. SPIE, 2006. http://dx.doi.org/10.1117/12.726656.