Hamiltonian Dynamics Courses and Certifications

Institute for Advanced Study

Symplectic Geometry Seminar

Explore advanced symplectic geometry through expert lectures covering Floer theory, contact topology, Hamiltonian dynamics, and mirror symmetry from leading researchers.

• YouTube
• 5 days 18 hours 24 minutes
• Self-Paced
• Free Video

Pretty Much Physics

Classical Mechanics - Comprehensive Course on Newtonian, Lagrangian, and Hamiltonian Mechanics

Explore fundamental physics principles from Newton's laws to Lagrangian mechanics, Hamilton's equations, fluid dynamics, and rotational motion through comprehensive video tutorials.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Topics in Nonlinear Dynamics

Explore nonlinear dynamics through critical points, Hamiltonian systems, bifurcations, limit cycles, discrete-time dynamics, and stochastic processes. Gain insights into complex system behaviors and analysis techniques.

• YouTube
• 1 day 5 hours
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Topics in Nonlinear Dynamics

This is a basic course in classical mechanics at the senior undergraduate/ master's level. It covers the standard topics in this subject, including the Lagrangian and Hamiltonian formalisms. It also places the subject in the broader context of classical…

• YouTube
• 1 day 5 hours
• Self-Paced
• Free Video

Richard Behiel

The Hydrogen Atom: Introduction to Quantum Physics - Part 1

Dive into quantum physics fundamentals through an exploration of the hydrogen atom, covering electron behavior, Schrödinger's equation, and essential mathematical concepts in spherical coordinates.

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

Mathemaniac

The Action Principle Explained: Finding Satisfaction in Physics

Delve into the action principle in physics, exploring why this seemingly arbitrary quantity should be minimized and discovering a more intuitive understanding of this fundamental concept.

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

Utrecht Geometry Centre

Geometry, Mechanics, and Control - Young Researchers Workshop

Explore advanced topics in differential geometry, optimal control theory, and mathematical physics through expert lectures on Pontryagin principles, contact manifolds, and Hamiltonian systems.

• YouTube
• 9 hours 47 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Workshop on the H-Principle and Beyond

Explore advanced mathematical concepts through expert lectures on h-principle theory, differential geometry, fluid dynamics, and symplectic structures in this comprehensive workshop.

• YouTube
• 19 hours 32 minutes
• Self-Paced
• Free Video

Fields Institute

Symplectic Geometry

Master symplectic manifolds, Darboux theorem, Hamiltonian mechanics, moment maps, and advanced topics like toric varieties, quantization, and mirror symmetry in this comprehensive mathematical framework.

• YouTube
• 1 day 11 hours 57 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Integer Quantum Hall Effect by Ganpathy Murthy

Comprehensive introduction to integer quantum Hall effect, covering classical Hall effect, Hamiltonian, Landau gauge, and conductivity equations. Includes gauge arguments and practical applications.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Discover AI

AI Discovers Physics: Lagrangian and Hamiltonian Neural Networks

Explore how emerging deep learning frameworks like Hamiltonian and Lagrangian neural networks are revolutionizing the discovery of physical laws through automatic differentiation and multi-system data integration.

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

Instituto de Matemática Pura e Aplicada

Conservative Dynamics and Symplectic Geometry Workshop 2023

Explore advanced topics in conservative dynamics and symplectic geometry through expert lectures covering Hamiltonian dynamics, contact geometry, integrable systems, and Aubry-Mather theory.

• YouTube
• 15 hours 9 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video