Constraints and Lagrange

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Related lectures (31)

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Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Principle of Least Action

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Lagrangian Mechanics: Symmetries and Conservation Laws

Explores Lagrangian mechanics, symmetries, conservation laws, and the Hamiltonian concept.

Constraints and Lagrange

Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.

Mechanics: Geometric Constraints and Equilibrium Points

Explores generalized coordinates, constraints, equilibrium points, and stability in mechanics using elegant polar coordinates.

Analytical Mechanics: Lagrange Formalism

Covers the limitations of Lagrange formalism and the transition to Hamiltonian formalism for dynamic variables.

Hamiltonian Mechanics: Diatomic Molecules

Explores Hamiltonian mechanics in diatomic molecules, emphasizing polar coordinates and conservation laws.

Classical Mechanics: Newton, Lagrange, Hamilton

Covers classical mechanics, including Newton's, Lagrange's, and Hamilton's formulations for calculating particle positions over time.

Lagrange Method

Covers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.

Molecular Dynamics Simulations: Basics and Algorithms

Covers the basics of molecular dynamics simulations, ensemble properties, classical mechanics formulations, numerical integration, energy conservation, and constraint algorithms.