Canonical Transformations: Rules and Equations

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Analytical Mechanics: Lagrange Formalism

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

Hamiltonian Mechanics: Analytical Approach

Explores Hamiltonian mechanics, conservation laws, potential functions, and canonical transformations in analytical detail.

Hamiltonian Mechanics: Diatomic Molecules

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

Canonical Equations and Integrable Systems

Explores canonical equations, integrable systems, trajectories, and the symplectic matrix in understanding system dynamics.

Lagrangian Mechanics: Symmetries and Conservation Laws

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

Symmetry and Conservation Laws

Explores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.

Field Theory: Action Principles

Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

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: Landau Levels

Explores charged particles in a magnetic field, focusing on Landau levels and gauge transformations.