Schrödinger Operators Courses and Certifications

Centre de recherches mathématiques - CRM

Potential Theoretic Methods for Deterministic Schrödinger Operators

Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Operators with Delta-Potentials on Unbounded Lipschitz Surfaces

Explore Schrödinger operators with delta-potentials on unbounded Lipschitz surfaces, focusing on ground state uniqueness, essential spectrum, and Birman-Schwinger principle applications.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Operators with Oblique Transmission Conditions in R2

Explore Schrödinger operators with oblique transmission conditions, examining self-adjointness, spectral properties, and connections to Dirac operators with delta-potentials in quantum theory.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

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

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Symplectic Ak Singularities and Schrödinger Operators

Explore finite dimensional integrability in mathematical physics, focusing on symplectic Ak singularities and Schrödinger operators.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Convergence of the Planewave Approximations for Quantum Incommensurate Systems

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.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Landscape Function and Its Relations With Eigenvectors of a Schrödinger Operator

Explore landscape functions and their connections to Schrodinger operator eigenvectors, covering effective potentials, energy computations, and exponential decay in various contexts.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Gap Labelling II

Explore advanced concepts in gap labelling theory, focusing on periodic and ergodic spectral problems in mathematical physics.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

The Method of Gauge Transform - Lecture 3

Explore advanced mathematical concepts in periodic and ergodic spectral problems, focusing on the Gauge transform method.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Schmid College, Chapman University

Linear Systems and Differential Equations in Random Matrix Theory

Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Disordered Systems and Related Spectra - Rothschild Lecture

Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

The Hidden Landscape of Localization - Kirk Lecture

Explore the hidden landscape of localization in complex systems, understanding wave confinement, eigenfunctions, and their implications for various mathematical and physical phenomena.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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

Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Properties of Soft Quantum Waveguides

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.

• YouTube
• 44 minutes
• On-Demand
• Free Video

University of Chicago Department of Mathematics

The Landscape Law and Wave Localization

Explore the landscape function's role in predicting wave localization patterns and eigenfunction behavior in complex systems with Svitlana Mayboroda's mathematical insights.

• YouTube
• 1 hour
• On-Demand
• Free Video