Institute for Pure & Applied Mathematics (IPAM) Courses

Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA

Explore multiscale inverse problems across quantum, classical, and statistical physics, connecting Schroedinger, Newton, and Boltzmann equations to reveal universal mathematical principles in diverse scientific domains.

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

The Hartree-Fock Approximation and Its Generalizations - IPAM at UCLA

Explore Hartree-Fock approximation in quantum mechanics, covering accuracy, variational principles, generalizations, and symmetries. Gain insights into advanced theoretical concepts and applications.

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

Multiscale Approaches to Dispersion Modelling - IPAM at UCLA

Explore multiscale approaches to dispersion modelling, focusing on van der Waals physics in materials with one- or two-dimensional interactions and the challenges in mathematical techniques used to model them.

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

Message Passing Neural Networks for Atomistic Systems - Materials - IPAM at UCLA

Explore message passing neural networks for atomistic systems, focusing on thermal transport simulations and diffusion in materials science, with practical examples and convergence tests.

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

Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

Explore diagrammatic algorithms for open quantum systems, focusing on balancing dynamical sign problems and error amplification in numerical integration through partial resummation techniques.

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

Discrete Honeycombs, Rational Edges and Edge States - IPAM at UCLA

Explore tight binding models, graphene edges, and edge states in quantum mechanics. Discover classifications, proofs, and formulas for zero energy states and dispersive edge curves.

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

Localized-Wave-Function Methods in Quantum Chemistry and Their Extension to Quantum Computers

Explore localized wave-function methods in quantum chemistry, their applications to large systems, and potential extensions to quantum computing algorithms for improved efficiency and accuracy.

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

Tensor Networks -QC-DMRG- in a Complete Active Space Coupled Cluster Method

Explore tensor networks in quantum mechanics, focusing on their application in coupled cluster methods for modeling strongly correlated systems and computing dynamical correlations.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Quantum Impurity and Quantum Embedding Theory - IPAM at UCLA

Explore quantum impurity and embedding theories, from non-interacting systems to advanced concepts like DMET and DMFT, enhancing understanding of quantum many-body problems.

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

Quantum Embedding with Lower Bounds - IPAM at UCLA

Explore quantum embedding theories and optimization approaches for solving relaxations of many-body ground state problems, focusing on quantum marginals and impurity problems for fermions.

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

Post-DFT Green's Function Embedding - IPAM at UCLA

Explore post-DFT Green's function embedding for correlated solids, focusing on self-energy embedding theory (SEET) and its applications in molecular systems and periodic solids.

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

Embedding Theories for Quantum Simulations on Hybrid Classical-Quantum Architectures

Explore quantum embedding theory for spin-defects in solids, comparing frameworks and discussing applications on classical and quantum computers for electronic structure calculations of qubits.

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

Multiscale Approaches to Quantum Mechanics - Vacuum, Atoms, Engineering-Scale

Explore multiscale quantum mechanics from vacuum to engineering structures, covering experimental evidence, theoretical models, and future research directions in this comprehensive lecture.

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

Theory of Molecular Interactions - IPAM at UCLA

Explore advanced quantum mechanics concepts, focusing on molecular interactions, perturbation theory, and frequency-dependent properties in this in-depth tutorial by Alexandre Tkatchenko.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Many-Body Perturbation Theory and Green's Function Methods - IPAM at UCLA

Explore Green's functions and many-body perturbation theory in quantum physics, covering Feynman diagrams, self-energy, and applications like GW method and DMFT. Gain insights into mathematical structures and open problems.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video