Canonical Transformations: Hamiltonian Equations

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Isolated Magnetic Moments: An Atom In Magnetic Field

Explores the Hamiltonian of an atom in a magnetic field and its paramagnetic and diamagnetic responses.

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Explores discrete and continuous degrees of freedom, canonical commutation relations, and the correspondence between classical and quantum mechanics.

Canonical Transformations: Hamilton-Jacobi Equation

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Quantum Mechanics: Path Integral Representation

Covers the path integral representation in quantum mechanics and the dynamics of systems described by Lagrangian.

Hamiltonian Formalism: Harmonic Oscillator

Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.

Canonical Transformations: Trajectories and Integrable Systems

Explores trajectories in integrable systems and the challenges of making predictions.

Canonical Transformations: Existence and Equations

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

Canonical Transformations: Symplectic Group and Properties

Explores canonical transformations, symplectic groups, real matrices, preserved quantities, and volumes in phase space.

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Particle in EM Field

Explores the interaction of particles with external electromagnetic fields and the quantum behavior in magnetic fields.