Institute for Pure & Applied Mathematics (IPAM) Courses

Low Rank Approximation in Electron Excitation Calculations - IPAM at UCLA

Explore low rank approximation techniques for efficient electron excitation calculations, focusing on the Interpolative Separable Density Fitting method and its applications in quantum mechanics.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Computational Microscopy at IPAM in Fall 2022

Explore cutting-edge computational microscopy techniques in this comprehensive program, featuring workshops on cryoelectron microscopy, deep learning, and electron microscopy advancements.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Machine Learning for Quantum Simulation - IPAM at UCLA

Explore machine learning applications in quantum simulation, focusing on neural networks for phase recognition and insights into complex quantum systems.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Localization Methods - Perspectives on Initialization and Optimization - IPAM at UCLA

Explore Wannier localization in quantum mechanics, its mathematical formulation, challenges, and new approaches for efficient orbital localization in condensed matter systems.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Quantum Dynamics from Classical Trajectories - IPAM at UCLA

Explore semiclassical approximations in quantum mechanics, focusing on a novel approach for complex chemical systems and addressing challenges in path space sampling and prefactor evaluation.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Methods and Software for Electron-Phonon Physics - IPAM at UCLA

Explore electron-phonon physics with advanced methods and software. Learn about spectral density functions, Green's functions, and polarons in materials, with real-world examples and computational challenges.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Large-Coupling Strength Expansion in DFT and Hartree-Fock Adiabatic Connections

Explore large-coupling strength expansions in DFT and Hartree-Fock adiabatic connections, examining their applications in quantum chemistry and electronic structure theory.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Systematically Improvable Models from Alchemical Perturbations - IPAM UCLA

Explore systematic improvements in quantum models using alchemical perturbations, connecting chemical spaces and simplifying material design through novel approaches and fundamental constraints.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Quantum Embedding Methods for Correlated Excited States of Point Defects

Explore quantum embedding methods for correlated excited states of point defects, focusing on case studies and challenges in computational approaches for defect systems in quantum technologies.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

The Ground State of the Dirac-Fock Energy for Molecules and Crystals - IPAM at UCLA

Explore ground state definition for Dirac-Fock energy in molecules and crystals, including existence results and computational algorithms. Insights for theoretical and numerical investigations.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Many-Electron Effective Hamiltonians from Similarity Renormalization Group

Explore many-electron effective Hamiltonians using similarity renormalization group, focusing on bond-breaking reactions, spin states, and excited states of molecules with near-degenerate electronic structures.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Quantum Mechanical Calculations of Electron Interactions in Condensed Matter

Explore precise quantum mechanical calculations for electron interactions in condensed matter, covering theory, challenges, and recent advancements in computational methods.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Recent Results in Density Functional Theory - IPAM at UCLA

Explore recent advancements in Density Functional Theory, including the Lieb-Oxford bound and Local Density Approximation, presented by Mathieu Lewin at IPAM's workshop on Model Reduction in Quantum Mechanics.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Local Response in Bulk-Gapped Interacting Systems - IPAM at UCLA

Explore quantum Hall effect in thin Hall bars, interacting fermion systems' response to local perturbations, and adiabatic theorems for extended many-body systems with bulk gaps.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions

Explore spectral results and open problems for Dirac-Coulomb operators with general charge distributions, focusing on self-adjoint extensions, eigenvalue characterizations, and electron stability conditions.

• YouTube
• 49 minutes
• Self-Paced
• Free Video