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#Schrödinger Operators

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Centre de recherches mathématiques - CRM

Two-sided Lieb-Thirring Bounds for Semi-bounded Schrödinger Operators

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Explore upper and lower bounds for eigenvalues of semi-bounded Schrödinger operators, focusing on atomic Hamiltonians with Kato potentials and the landscape function in all spatial dimensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

The Landscape Law and Wave Localization

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Explore the landscape function's role in predicting wave localization patterns and eigenfunction behavior in complex systems with Svitlana Mayboroda's mathematical insights.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Landscape Function and Its Relations With Eigenvectors of a Schrödinger Operator

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Explore landscape functions and their connections to Schrodinger operator eigenvectors, covering effective potentials, energy computations, and exponential decay in various contexts.
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9 Lesons
44 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Wave Localization and the Landscape Law

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Explore wave localization in complex media, introducing the landscape concept for predicting eigenfunctions, decay patterns, and eigenvalues. Discover new insights on Schrödinger operators and quantum observables.
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1 Lesons
57 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Operators with Delta-Potentials on Unbounded Lipschitz Surfaces

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Explore Schrödinger operators with delta-potentials on unbounded Lipschitz surfaces, focusing on ground state uniqueness, essential spectrum, and Birman-Schwinger principle applications.
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7 Lesons
27 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Operators with Oblique Transmission Conditions in R2

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Explore Schrödinger operators with oblique transmission conditions, examining self-adjointness, spectral properties, and connections to Dirac operators with delta-potentials in quantum theory.
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1 Lesons
29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Improved Lieb-Thirring Type Inequalities for Non-Selfadjoint Schroedinger Operators

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Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.
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1 Lesons
41 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Quantized Integrable Systems, Normal Forms, and Variation of Hodge Structures

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Explore quantum Hamiltonians' Birkhoff normal forms, linking quantized integrable systems to Hodge structure variations in complex symplectic geometry.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Disordered Systems and Related Spectra - Rothschild Lecture

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Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Schmid College, Chapman University

Linear Systems and Differential Equations in Random Matrix Theory

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Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.
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20 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Method of Gauge Transform - Lecture 3

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Explore advanced mathematical concepts in periodic and ergodic spectral problems, focusing on the Gauge transform method.
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1 Lesons
1 hour 2 minutes
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Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Convergence of the Planewave Approximations for Quantum Incommensurate Systems

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Explore quantum incommensurate systems through rigorous analysis of Schrödinger operators' spectrum distribution, focusing on density of states characterization and planewave approximation methods with novel energy cutoffs.
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18 Lesons
32 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Gap Labelling II

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Explore advanced concepts in gap labelling theory, focusing on periodic and ergodic spectral problems in mathematical physics.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Potential Theoretic Methods for Deterministic Schrödinger Operators

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Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.
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1 Lesons
58 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Properties of Soft Quantum Waveguides

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Explore spectral properties of soft quantum waveguides, focusing on Schrödinger operators with attractive potentials along curved channels. Analyze discrete spectrum conditions and ground state optimization.
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1 Lesons
44 minutes
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Free-Video
NCCR SwissMAP

Symplectic Ak Singularities and Schrödinger Operators

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Explore finite dimensional integrability in mathematical physics, focusing on symplectic Ak singularities and Schrödinger operators.
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1 Lesons
51 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

The Hidden Landscape of Localization - Kirk Lecture

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Explore the hidden landscape of localization in complex systems, understanding wave confinement, eigenfunctions, and their implications for various mathematical and physical phenomena.
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1 Lesons
57 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Graph Structure of the Nodal Set on Riemannian Manifolds

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Explore the geometric analysis of eigenfunction zero sets on Riemannian manifolds, examining connections between graph theory, nodal sets, and critical point estimation in spectral geometry.
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1 Lesons
40 minutes
On-Demand
Free-Video