Lectures

Lecture 1: Second quantization for harmonic oscillator

• Example: Coherent states
• Example: Phonons in solids

Lecture 2: Second quantization for bosons

• Example: Magnons in magnetic materials.
• Example: Bogoliubov theory of superfluids.

Lecture 3: Second quantization for fermions

• Example: Hubbard clusters.
• Example: Hartree-Fock theory of electrons in metals.
• Example: BCS theory of superconductivity.

Lecture 4: Time-dependent perturbation theory

• Example: Wave functions of 3 fermions and 3 bosons.

Lecture 5: Floquet theory of periodically driven quantum systems

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