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Subjects
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Theoretical Physics
Hamiltonian Dynamics

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Hamiltonian Dynamics Courses and Certifications

Explore the principles of Hamiltonian dynamics, including nonlinear systems, geometric integration, and simulation techniques for both classical and quantum models. Learn foundational concepts and practical applications through beginner-friendly video lectures from top institutions on YouTube. Ideal for physics, mathematics, and engineering enthusiasts seeking hands-on understanding.

268 courses

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Fields Institute
Hamiltonian Geometry and Dynamics Behind Compressible Fluids

Explore Hamiltonian geometry and dynamics in relation to compressible fluids, delving into mathematical concepts and physical applications in fluid mechanics.
- YouTube
- 55 minutes
- Self-Paced
- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Hamiltonian Dynamics on Poisson Manifolds and Symplectic Groupoids

Delve into advanced mathematical concepts exploring Hamiltonian dynamics through symplectic Lie groupoids, covering approximation methods and applications in conservative mechanics and PDEs.
- YouTube
- 42 minutes
- Self-Paced
- Free Video
IPhT-TV
Hamiltonian Dynamics of Classical Disordered Models

Explore Hamiltonian dynamics in classical disordered models, covering quantum quench protocols, phase transitions, and asymptotic steady states in both integrable and non-integrable systems.
- YouTube
- 52 minutes
- Self-Paced
- Free Video
Isaac Newton Institute for Mathematical Sciences
Hamiltonian Monte Carlo and Geometric Integration

Explore Hamiltonian Monte Carlo sampling algorithm, its applications, and underlying concepts from statistical physics, geometric integration, Bayesian statistics, and Hamiltonian dynamics.
- YouTube
- 55 minutes
- Self-Paced
- Free Video
Inside Livermore Lab
A Physics-Based Reduced Order Model Capturing the Topology of Dynamical Manifolds

Explore a transformational approach to dynamics using the Heisenberg Scattering Transformation, applied to create fast surrogate models for 2D pulsed power liner implosions in MagLIF.
- YouTube
- 1 hour 23 minutes
- Self-Paced
- Free Video
Qiskit
Hamiltonian Dynamics: Application and Simulation

Explore quantum computing applications through Hamiltonian dynamics simulation, focusing on physical implementations and algorithmic approaches to approximate quantum system eigenstates.
- YouTube
- 52 minutes
- Self-Paced
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
Macroscopic Dynamics for Nonequilibrium Biochemical Reactions from a Hamiltonian Perspective

Explore Hamiltonian perspectives on macroscopic dynamics of nonequilibrium biochemical reactions, covering thermodynamic limits, Hamilton-Jacobi equations, and metastable state transitions.
- YouTube
- 44 minutes
- Self-Paced
- Free Video
Kavli Institute for Theoretical Physics
Quantum Advantage from Random Geometrically-Two-Local Hamiltonian Dynamics

Explore quantum advantage through random geometrically-two-local Hamiltonian dynamics in this theoretical physics presentation by Yihui Quek from EPFL.
- YouTube
- 36 minutes
- Self-Paced
- Free Video
Physics with Elliot
Physics Mini Lessons - Intermediate Level Topics in Quantum Mechanics, Relativity, and Classical Physics

Explore advanced physics concepts through bite-sized lessons covering quantum mechanics, relativity, field theory, and classical mechanics fundamentals.
- YouTube
- 6 hours 20 minutes
- Self-Paced
- Free Video
Physics with Elliot
Hamiltonian Mechanics Sequence

Discover the fundamentals of Hamiltonian mechanics through symmetries, conservation laws, and the principle of least action in this comprehensive physics sequence.
- YouTube
- 1 hour 28 minutes
- Self-Paced
- Free Video
Physics with Elliot
Lagrangian Mechanics Sequence

Discover the fundamentals of Lagrangian mechanics through principles of least action, symmetries, conservation laws, and relativistic applications in this comprehensive sequence.
- YouTube
- 2 hours 12 minutes
- Self-Paced
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
Time-Dependent Hamiltonian Simulation of Highly Oscillatory Dynamics - IPAM at UCLA

Explore highly oscillatory dynamics in quantum systems, focusing on efficient simulation algorithms for time-dependent Hamiltonians with applications in various scientific fields.
- YouTube
- 35 minutes
- Self-Paced
- Free Video
Theoretical Classical Mechanics: From Beginner to Expert
354 ratings at Udemy

Theory & Examples: Kinematics, Dynamics, Differential Equations (Including Maths & Python3), Lagrangian & Hamiltonian
- Udemy
- 23 hours 12 minutes
- Self-Paced
- Paid Course
Institute for Pure & Applied Mathematics (IPAM)
Quantum Algorithms for Dynamics Simulation - Hamiltonian Simulation & General Differential

Explore quantum algorithms for simulating dynamics, focusing on Hamiltonian simulation and differential equations in this comprehensive tutorial by Duke University's Di Fang.
- YouTube
- 1 hour 12 minutes
- Self-Paced
- Free Video
Centre International de Rencontres Mathématiques
The Spectral Norm, Rigidity and Related Phenomena in Hamiltonian Dynamics

Explore the spectral norm's behavior in Hamiltonian diffeomorphisms, its applications to dynamics, and connections to invariant sets, pseudo-rotations, and rigidity.
- YouTube
- 1 hour 8 minutes
- Self-Paced
- Free Video

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