Lectures related to Rotational invariance

Non-linear dynamics: phenomenology, tools and methods

Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Angular Momentum: Generators and Operators

Covers angular momentum generators, operators, and finite rotations in quantum mechanics.

Particle in a Central Potential

Explores the behavior of a particle in a central potential and its invariance under rotations.

Canonical Transformations: Hamiltonian Equations

Explores canonical transformations, emphasizing Hamiltonian equations, constant quantities, and the importance of Lagrangian variables.

Charged Particle in Magnetic Field

Explores the behavior of a charged particle in a magnetic field, covering classical and quantum aspects, gauge transformations, and spatial translations.

Charged Particle in Magnetic Field

Explores the behavior of charged particles in magnetic fields and the invariance of quantum probabilities.