Lectures in course PHYS-202: Analytical mechanics (for SPH)

Hamilton-Jacobi Equation: Analytical Mechanics

Explores the Hamilton-Jacobi equation in analytical mechanics, focusing on eigenvalues, constants of motion, and system predictability.

Hamilton-Jacobi Equations: Phase Portrait

Explores Hamilton-Jacobi equations, phase portrait, and period calculation using action-angle variables for system trajectories.

Hamilton-Jacobi Equation: Phase Portrait Analysis

Explores the Hamilton-Jacobi equation and phase portrait analysis in one-dimensional systems, emphasizing the relationship between variables and system evolution.

Analytical Mechanics: Coupled Harmonics

Covers the concept of coupled harmonics and the decoupling process.

Field Theory: Introduction to Lineic Fields

Covers the introduction to field theory, focusing on lineic fields and their density.

Analytical Mechanics: Equilibrium Positions and Least Action Principle

Explores equilibrium positions, lineic density, and the principle of least action in analytical mechanics.

Analytical Mechanics: Degrees of Freedom and Potential Energy

Explores degrees of freedom and potential energy in analytical mechanics.