Presentation - "A study on the Dyson series" Hi there, I'm not sure this is the right place to talk about this. If not, please indicate me where I can take this. :] I wrote a dissertation about the Dyson series, as a requirement for my bachelor degree. It's not very long, but for the presentation I have to filter something! I'm listing here the topics covered, and if anyone has any suggestions on what to talk about, I'll sure apreciate it! :] -Introduction: Nothing really substantial here. Just a really brief history of the series, motivations for quantum mechanics, etc. -Quantum mechanics fundamentals: Hilbert space, Dirac notation and postulates. -Time evolution operator and the Dyson series: Definition and properties like unitarity and convergence. -Schrödinger, Heisenberg and interaction picture. -Transition probability: The point here is how to obtain approximate results using the Dyson series. Furthermore, there is a physical interpretation and specification to Hamiltonian eigenstates. -Constant perturbation (or step perturbation): We calculate the transition amplitude for a system with a constant perturbation (turned on after t=0). -Harmonic oscilattor with a harmonic perturbation: We calculate the transition amplitude. The difference is that the calculations are really, really extensive! For now, I'm preparing the presentation skipping the fundamentals: Evolution operator, transition amplitude and the applications. So... What would you like to hear? If you were forced to sit down and listen to this for 50 minutes, or something.