Analytical Mechanics: Principle of Least Action

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Analytical Mechanics: Equilibrium Positions and Least Action Principle

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

Canonical Transformations in Analytical Mechanics

Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.

Quantum Instanton Theory

Explores quantum instanton theory, path integrals, reaction rates, and tunnelling phenomena.

Mechanics of Springs

Covers the mechanics of springs, analyzing forces and elongations in connected springs.

Calculus of Variations: Some Topics

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

Constraints and Lagrange

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

Phase Plan and 1st Harmonic Method

Covers phase plan representation, limit cycles, topological index, and the first harmonic method.

Generalized Coordinates: Constraints, Equilibria, Stability

Covers generalized coordinates, constraints, degrees of freedom, and equilibrium points in mechanics.

Maximum Entropy Principle: Stochastic Differential Equations

Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.

Classical Field Theory: Lagrangian and Hamiltonian Formulation

Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.