Hamiltonian Systems Courses and Certifications

Ross Dynamics Lab

Poisson Brackets, Non-Canonical Hamiltonian Systems and Euler's Rigid Body Equations

Explore Poisson brackets, non-canonical Hamiltonian systems, and Euler's rigid body equations in this advanced dynamics lecture. Gain insights into abstract algebra, Lie algebra, and their applications in physics and mechanics.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Inside Livermore Lab

Structure-Preserving Learning of High-Dimensional Lagrangian and Hamiltonian Systems

Explore structure-preserving learning for high-dimensional Lagrangian and Hamiltonian systems, focusing on reduced-order models in mechanics, robotics, and wave propagation for enhanced stability and predictive accuracy.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Lifting Hamiltonian Torus Actions to Integrable Systems

Explore finite dimensional integrability in mathematical physics, focusing on lifting Hamiltonian torus actions to integrable systems.

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

ICTP Condensed Matter and Statistical Physics

Learning Quantum Systems: From Physics-Inspired Models to Hamiltonian Learning

Explore physics-inspired models and Hamiltonian learning techniques for understanding quantum systems, enhancing your knowledge of advanced quantum mechanics concepts.

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

BPPB Seminar

Hamiltonian Biology in Physical Systems

Explore the intersection of physics and biology through Hamiltonian principles and their applications in biological systems and processes.

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

Conference GSI

Expressiveness and Structure Preservation in Learning Port Hamiltonian Systems

Explore advanced techniques for learning Port Hamiltonian systems, focusing on expressiveness and structure preservation in dynamic modeling and control applications.

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

Conference GSI

Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups

Explore variational integrators for stochastic Hamiltonian systems on Lie groups, gaining insights into advanced mathematical concepts and their applications.

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

Conference GSI

Hamiltonian Variational Formulation for Non-Simple Thermodynamic Systems

Explore Hamiltonian variational formulation for complex thermodynamic systems, gaining insights into advanced mathematical approaches in physics and engineering.

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

Institute for Pure & Applied Mathematics (IPAM)

Heisenberg-Limited Hamiltonian Learning for Continuous Variable Systems via Engineered Dissipation

Explore Heisenberg-limited algorithms for learning bosonic Hamiltonians in continuous-variable quantum systems using engineered dissipation and quantitative adiabatic approximations.

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

ICTP Mathematics

School and Conference on Dynamical Systems

Explore advanced dynamical systems theory through expert lectures on chaotic dynamics, conservative systems, ergodic theory, and geometric aspects from leading mathematicians.

• YouTube
• 2 days 9 hours 28 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Generating Function of a Canonical Transformation - Examples and the Big Picture

Explore generating functions for canonical transformations in Hamiltonian systems. Learn about harmonic oscillator examples, near-identity transformations, and connections to quantum mechanics and gauge invariance.

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

Ross Dynamics Lab

Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

Explore variational principles in mechanics, including the Principle of Least Action and Lagrange's equations. Learn calculus of variations techniques and their applications in physics and engineering problems.

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

Ross Dynamics Lab

Periodic Systems and Periodic Motion - Parametric Resonance Tongues of Instability, Mathieu Equation

Explore periodic systems, parametric resonance, and the Mathieu equation. Learn about resonance tongues, stability analysis, and the fascinating Kapitza pendulum phenomenon in nonlinear dynamics.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Qiskit

How to Simulate Quantum Measurement Without Computing Marginals

Delve into advanced quantum measurement simulation techniques, focusing on efficient amplitude computation methods and Markov Chain applications for ground state sampling in quantum systems.

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

Fields Institute

Symplectic Geometry - Class 21

Explore advanced concepts in symplectic geometry with Professor Ben Webster, delving into complex mathematical theories and their applications in this comprehensive lecture.

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