Template:Course Topics: Difference between revisions

Latest revision as of 20:51, 3 May 2020

Second quantization formalism for bosons and fermions.
Applications of second quantization: Hartree-Fock method, magnons, superconductivity and superfluidity.
Time-dependent perturbation theory: Dyson vs. Magnus expansions.
Floquet theory of periodically driven time-dependent quantum systems.
Quantization of the electromagnetic field.
Nonclassical light.
Light-matter interaction.
Dissipative quantum mechanics with application to qubits.
Relativistic quantum mechanics.

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-* proper and improper mixed states in quantum mechanics and the density operator,
+*Second quantization formalism for bosons and fermions.
-* entanglement and decoherence in quantum mechanics,
+*Applications of second quantization: Hartree-Fock method, magnons, superconductivity and superfluidity.
-* equilibrium partition function for noninteracting bosons and fermions,
+*Time-dependent perturbation theory: Dyson vs. Magnus expansions.
-* electrons in solids,
+*Floquet theory of periodically driven time-dependent quantum systems.
-* stellar astrophysics,
+*Quantization of the electromagnetic field.
-* Bose-Einstein condensation in cold atomic gases,
+*Nonclassical light.
-* phase transitions and critical phenomena (with emphasis on magnetic systems),
+*Light-matter interaction.
-* mean field theory vs. renormalization group methods,
+*Dissipative quantum mechanics with application to qubits.
-* quantum phase transitions,
+*Relativistic quantum mechanics.
-* elements of nonequilibrium statistical physics: Boltzmann equation, Kubo formula and quantum master equations.