Institute for Pure & Applied Mathematics (IPAM) Courses

Fast Algorithms for FCI Excited States - IPAM at UCLA

Fast algorithms for electronic structure excited-state calculations in configuration interaction framework, focusing on global convergence, linear convergence rates, and acceleration techniques for improved efficiency.

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

Finite-Size Error and Its Correction in Energy Calculations for Periodic Systems

Explore finite-size errors in periodic systems, focusing on Hartree-Fock and MP2 theories. Learn about convergence rates, Madelung-constant correction, and the staggered mesh method for improved calculations.

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

Large Scale Hybrid DFT Functionals - Fast Algorithms and Finite-Size Effects - IPAM at UCLA

Explore accelerating DFT calculations with hybrid functionals and finite-size effects in Hartree-Fock calculations for periodic systems in this advanced mathematics lecture.

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

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