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Lecture
One-Dimensional Harmonic Oscillator
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One Dimensional Harmonic Oscillator
Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.
Path Integral Representation of Propagators
Covers the path integral representation of propagators for free particles and harmonic oscillators.
Oscillations libres, ressort
Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.
Canonical Transformations: Hamilton-Jacobi Equation
Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.
Differential Equations: Speed Variation Analysis
Covers the analysis of speed variation using differential equations and small time intervals.
Canonical Transformations: Existence and Equations
Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Forced Harmonic Oscillator: Resonance
Explores the forced harmonic oscillator, damping, and resonance phenomenon, focusing on the amplitude of oscillations in resonance.
Law of Hooke Applications: Spring Problems
Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.