Relevant bibliographies by topics / Lieb-Thirring inequalities

Contents

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

Academic literature on the topic 'Lieb-Thirring inequalities'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

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Journal articles on the topic "Lieb-Thirring inequalities"

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Erdős, László. "Magnetic Lieb-Thirring inequalities." Communications in Mathematical Physics 170, no. 3 (1995): 629–68. http://dx.doi.org/10.1007/bf02099152.

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Levin, Daniel. "On some new spectral estimates for Schrödinger-like operators." Open Mathematics 4, no. 1 (2006): 123–37. http://dx.doi.org/10.1007/s11533-005-0008-z.

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AbstractWe prove the analog of the Cwikel-Lieb-Rozenblum estimate for a wide class of second-order elliptic operators by two different tools: Lieb-Thirring inequalities for Schrödinger operators with matrix-valued potentials and Sobolev inequalities for warped product spaces.
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Barsegyan, D. S. "On inequalities of Lieb-Thirring type." Mathematical Notes 82, no. 3-4 (2007): 451–60. http://dx.doi.org/10.1134/s0001434607090192.

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Hundertmark, Dirk, and Barry Simon. "Lieb–Thirring Inequalities for Jacobi Matrices." Journal of Approximation Theory 118, no. 1 (2002): 106–30. http://dx.doi.org/10.1006/jath.2002.3704.

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Ilyin, A. A., and A. A. Laptev. "Lieb-Thirring inequalities on the torus." Sbornik: Mathematics 207, no. 10 (2016): 1410–34. http://dx.doi.org/10.1070/sm8641.

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Ilyin, A., and A. Laptev. "Lieb–Thirring inequalities on the sphere." St. Petersburg Mathematical Journal 31, no. 3 (2020): 479–93. http://dx.doi.org/10.1090/spmj/1609.

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PACHPATTE, B. G. "ON LIEB AND THIRRING TYPE DISCRETE INEQUALITIES." Tamkang Journal of Mathematics 22, no. 2 (1991): 145–51. http://dx.doi.org/10.5556/j.tkjm.22.1991.4587.

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 Discrete inequalities of the Lieb and Thirring type involving functions of several independent variables and their forward differences are established. The proofs given here are elementary and the results established provide new estimates on these types of inequalities. 
 
 
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Li, Yonggang, Jing Wang, and Huafei Sun. "Generalization of the Lieb–Thirring–Araki Inequality and Its Applications." Mathematics 9, no. 7 (2021): 723. http://dx.doi.org/10.3390/math9070723.

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The matrix eigenvalue is very important in matrix analysis, and it has been applied to matrix trace inequalities, such as the Lieb–Thirring–Araki theorem and Thompson–Golden theorem. In this manuscript, we obtain a matrix eigenvalue inequality by using the Stein–Hirschman operator interpolation inequality; then, according to the properties of exterior algebra and the Schur-convex function, we provide a new proof for the generalization of the Lieb–Thirring–Araki theorem and Furuta theorem.
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Tachizawa, Kazuya. "Weighted $L^p$ Sobolev-Lieb-Thirring inequalities." Proceedings of the Japan Academy, Series A, Mathematical Sciences 81, no. 8 (2005): 141–43. http://dx.doi.org/10.3792/pjaa.81.141.

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Mickelin, Oscar. "Lieb–Thirring inequalities for generalized magnetic fields." Bulletin of Mathematical Sciences 6, no. 1 (2015): 1–14. http://dx.doi.org/10.1007/s13373-015-0067-9.

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Dissertations / Theses on the topic "Lieb-Thirring inequalities"

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Frank, Rupert L. "Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators." Doctoral thesis, KTH, Matematik (Avd.), 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4344.

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This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type operators. In Paper I we show that the Lieb-Thirring inequalities on moments of negative eigen¬values remain true, with possibly different constants, when the critical Hardy weight is subtracted from the Laplace operator. In Paper II we prove that the one-dimensional analog of this inequality holds even for the critical value of the moment parameter. In Paper III we establish Hardy-Lieb-Thirring inequalities for fractional powers of the Laplace operator and, in particular, relativistic Schrödinger
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Frank, Rupert L. "Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators /." Stockholm : Institutionen för matematik, Kungliga Tekniska högskolan, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4344.

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Mickelin, Oscar. "On Spectral Inequalities in Quantum Mechanics and Conformal Field Theory." Thesis, KTH, Matematik (Avd.), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-167969.

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Following Exner et al. (Commun. Math. Phys. 26 (2014), no. 2, 531–541), we prove new Lieb-Thirring inequalities for a general class of self-adjoint, second order differential operators with matrix-valued potentials, acting in one space-dimension. This class contains, but is not restricted to, the magnetic and non-magnetic Schrödinger operators. We consider the three cases of functions defined on all reals, all positive reals, and an interval, respectively, and acquire three different kinds of bounds. We also investigate the spectral properties of a family of operators from conformal field theo
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Portmann, Fabian. "Spectral Inequalities and Their Applications in Quantum Mechanics." Doctoral thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145210.

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The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics. In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. The main result is a two-term asymptotic expansion of the ground state energy in terms of Z. Paper B deals with Hardy inequalities for the kinetic energy of a particle in the presence of an external magnetic field. If the magnetic field has a non-trivial radial component, we show that Hardy’s classical lower bound can be improved
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Sambou, Diomba. "Accumulation spectrale pour les Hamiltoniens quantiques magnétiques." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-01059664.

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Dans cette thèse on s'interesse à l'étude de phénomènes d'accumultation spectrale de certains opérateurs issus de la physique quantique à savoir les opérateurs de Schrödinger, de Pauli, et de Dirac. Typiquement, ces opérateurs apparaissent dans la modélisation de certains problèmes de physique sous forme d'équations d'évolution. Selon les contraintes du problème physique, ils peuvent être associés ou non à un champ magnétique pouvant être constant ou non constant. Le cadre où le champ magnétique est dit admissible est celui que nous allons considérer (en dimension 3). Ce dernier cadre inclut e
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Dubuisson, Clement. "Etude du spectre discret de perturbations d'opérateurs de la physique mathématique." Thesis, Bordeaux, 2014. http://www.theses.fr/2014BORD0127/document.

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Le but de cette thèse est d’obtenir des informations sur le spectre discret d’opérateurs non auto-adjoints définis par des perturbations relativement compactes d’opérateurs auto-adjoints. Ces opérateurs auto-adjoints sont choisis parmi les opérateurs classiques de mécanique quantique. Il s’agit des opérateurs de Dirac, de Klein-Gordon et le laplacien fractionnaire qui généralise l’opérateur de Schrödinger habituellement considéré pour de tels problèmes. La principale méthode utilisée ici relève d’un théorème d’analyse complexe donnant une condition de type Blaschke sur les zéros d’une fonction
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Levitt, Antoine. "Etude théorique et numérique de modèles non linéaires en mécanique quantique." Phd thesis, Université Paris Dauphine - Paris IX, 2013. http://tel.archives-ouvertes.fr/tel-00881031.

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Dans cette thèse, on étudie plusieurs modèles et problèmes issus de la mécanique quantique. Ces modèles interviennent naturellement en chimie quantique pour le calcul de la structure électronique de la matière. Ils présentent des difficultés théoriques liées aux problèmes d'existence de solutions et à leur calcul numérique. Cette thèse est une contribution à l'étude de ces problèmes.
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Book chapters on the topic "Lieb-Thirring inequalities"

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Molchanov, Stanislav, and Boris Vainberg. "On General Cwikel–Lieb–Rozenblum and Lieb–Thirring Inequalities." In Around the Research of Vladimir Maz'ya III. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-1345-6_8.

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Erdős, L. "Magnetic Lieb-Thirring Inequalities and Stochastic Oscillatory Integrals." In Partial Differential Operators and Mathematical Physics. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9092-2_13.

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Sobolev, Alexander V. "Lieb-Thirring Inequalities for the Pauli Operator in Three Dimensions." In Quasiclassical Methods. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1940-8_9.

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Ghidaglia, J. M. "Generalized Lieb-Thirring Inequalities and the Dimension of Attractors Associated to the Ginzburg-Landau p.d.e." In Trends in Applications of Mathematics to Mechanics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73933-0_8.

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Conference papers on the topic "Lieb-Thirring inequalities"

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FRANK, RUPERT L., ELLIOTT H. LIEB, and ROBERT SEIRINGER. "EQUIVALENCE OF SOBOLEV INEQUALITIES AND LIEB-THIRRING INEQUALITIES." In XVIth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304634_0045.

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