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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-*Second quantization for bosons and fermions.
+*Second quantization formalism for bosons and fermions.
-*Applications of second quantization: Hartree-Fock method, magnetism, superconductivity and superfluidity.
+*Applications of second quantization: Hartree-Fock method, magnons, superconductivity and superfluidity.
-*Time-dependent perturbation theory: Dyson and Magnus expansions.
+*Time-dependent perturbation theory: Dyson vs. Magnus expansions.
 *Floquet theory of periodically driven time-dependent quantum systems.
-*Berry phase and wavefunctions for time-dependent quantum systems.
+*Quantization of the electromagnetic field.
-*Quantum mechanics of electromagnetic field.
 *Nonclassical light.
-*Scattering theory.
+*Light-matter interaction.
+*Dissipative quantum mechanics with application to qubits.
 *Relativistic quantum mechanics.
-Time-dependent quantum systems: Magnus expansion, Floquet theorem, adiabatic approximation and Berry phase. Scattering theory. Many-particle systems. Second quantization for bosons and fermions. Applications of second quantization: Hartree-Fock method, magnetism, superconductivity and superfluidity. Quantum mechanics of electromagnetic field. Relativistic quantum mechanics.