Lectures: Difference between revisions
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== Lecture 1: Second quantization for harmonic oscillator == | == Lecture 1: Second quantization formalism for harmonic oscillator == | ||
* Example: Coherent states | * Example: Coherent states | ||
* Example: Phonons in solids | * Example: Phonons in solids | ||
== Lecture 2: Second quantization for bosons == | == Lecture 2: Second quantization formalism for bosons == | ||
* Example: Magnons in magnetic materials. | * Example: Magnons in magnetic materials. | ||
* Example: Bogoliubov theory of superfluids. | * Example: Bogoliubov theory of superfluids. | ||
== Lecture 3: Second quantization for fermions == | == Lecture 3: Second quantization formalism for fermions == | ||
* Example: Hubbard clusters. | * Example: Hubbard clusters. | ||
* Example: Hartree-Fock theory of electrons in metals. | * Example: Hartree-Fock theory of electrons in metals. | ||
| Line 13: | Line 13: | ||
== Lecture 4: Time-dependent perturbation theory == | == Lecture 4: Time-dependent perturbation theory == | ||
* Example: | * Example: Dyson vs. Magnus expansion. | ||
* Example: 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). [http://personales.upv.es/serblaza/2010EJP.pdf [PDF]] | |||
== Lecture 5: Floquet theory of periodically driven quantum systems == | == Lecture 5: Floquet theory of periodically driven quantum systems == | ||
== Lecture 6: | == Lecture 6: | ||
Revision as of 15:10, 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.
- Example: 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:
