Lectures: Difference between revisions
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== Lecture 4: Time-dependent perturbation theory == | == Lecture 4: Time-dependent perturbation theory == | ||
* Example: Dyson vs. Magnus expansion | * Example: Dyson vs. Magnus expansion for driven harmonic oscillator. | ||
===Additional references=== | ===Additional references=== | ||
Revision as of 15:11, 2 August 2019
Lecture 1: Second quantization formalism for harmonic oscillator
- Example: Coherent states
- Example: Phonons in solids
Lecture 2: Second quantization formalism for bosons
- Example: Magnons in magnetic materials.
- Example: Bogoliubov theory of superfluids.
Lecture 3: Second quantization formalism 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: Dyson vs. Magnus expansion for driven harmonic oscillator.
Additional references
S. Blanes, F. Casas, J. A. Oteo and J. Ros, A pedagogical approach to the Magnus expansion, Eur. J. Phys. 31, 907 (2010). [PDF]
Lecture 5: Floquet theory of periodically driven quantum systems
== Lecture 6:
