Quantum Mechanics Courses and Certifications

Tom Rocks Maths

Heisenberg's Uncertainty Principle

Derive Heisenberg's Uncertainty Principle in Quantum Mechanics, exploring Schrödinger's Equation, momentum and position operators, and the key proposition leading to this fundamental concept.

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

Physics with Elliot

But Why Wavefunctions? A Practical Approach to Quantum Mechanics

Explore the concept of wavefunctions in quantum mechanics through the double-slit experiment, revealing the counterintuitive nature of particles at the smallest scales.

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

IEEE Signal Processing Society

Quantum Independence and Interdependence in Signal Processing

Explore quantum independence and interdependence concepts in signal processing with expert Emina Soljanin, delving into cutting-edge research and applications in the field.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quantum Technologies by Aditi De

Explore groundbreaking quantum discoveries in communication and computation, revolutionizing modern technology. Learn about recent inventions based on quantum mechanics principles.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quantum Mechanics and the Geometry of Spacetime by Juan Maldacena

Explore the intriguing connection between quantum mechanics and spacetime geometry, focusing on black holes, entanglement, and wormholes. Gain insights into quantum teleportation and its geometric interpretation.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Professor Dave Explains

Wavefunction Properties, Normalization, and Expectation Values

Explore quantum mechanics through wavefunctions, normalization, and expectation values. Learn about Hilbert spaces, bra-ket notation, and the superposition principle to gain a deeper understanding of quantum systems.

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

Hausdorff Center for Mathematics

Marcello Porta: On the Correlation Energy of Interacting Fermionic Systems in the Mean-Field Regime

Explore ground state properties of homogeneous, interacting Fermi gas in mean-field regime, focusing on correlation energy and recent progress in understanding its precise value through rigorous bosonization techniques.

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

Institute for Pure & Applied Mathematics (IPAM)

Fully Quantum (Bio)Molecular Simulations: Dream or Reality?

Explore the convergence of quantum mechanics and machine learning in molecular simulations, addressing challenges and future developments for complex (bio)molecular systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Monte Carlo and Machine Learning Approaches in Quantum Mechanics - IPAM at UCLA

Explore Monte Carlo and machine learning techniques in quantum mechanics with Andrea Tirelli, covering advanced computational methods for solving complex quantum systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Monte Carlo and Machine Learning Simulations of Dense Hydrogen

Explore advanced quantum simulations of dense hydrogen using Quantum Monte Carlo and machine learning techniques, focusing on electronic energies, proton distributions, and novel solid structures.

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

Institute for Pure & Applied Mathematics (IPAM)

Convergent Orthogonality Preserving Approximations of the Kohn-Sham Orbitals

Explore convergent numerical approximations in electronic structure calculations, focusing on an extended gradient flow Kohn-Sham DFT model that preserves orbital orthogonality without additional operations.

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

Institute for Pure & Applied Mathematics (IPAM)

Acceleration of Quantum Mechanical Systems by Exploiting Similarity - IPAM at UCLA

Explore innovative approaches to accelerate quantum mechanical simulations by leveraging solution similarities, focusing on extended Lagrangian Born-Oppenheimer dynamics and reduced basis methods for quantum-spin systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Model Reduction Using Localized Bases and DMRG - IPAM at UCLA

Explore model reduction techniques in quantum mechanics using localized bases and DMRG, focusing on sliced basis sets for hydrogen chains and gausslet bases for fully diagonal Hamiltonians.

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

Institute for Pure & Applied Mathematics (IPAM)

Lattice Models and Ab Initio Descriptions of Correlated Materials - IPAM at UCLA

Explore correlated electron materials through low-energy models and ab initio calculations, focusing on properties of cuprates and advanced quantum mechanics techniques.

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

Institute for Pure & Applied Mathematics (IPAM)

Correlation Energy of Weakly Interacting Fermions - IPAM at UCLA

Explore fermionic systems in quantum mechanics, focusing on mean-field and semiclassical limits. Learn how Bogoliubov theory describes corrections to Hartree-Fock predictions and derives the Gell-Mann-Brueckner correlation energy formula.

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