Dennis Hinrichs: Diagrammatische Störungstheorie und Anwendung auf das Bose-Hubbard Modell
- Author(s):
Dennis Hinrichs
- Title:
Diagrammatische Störungstheorie und Anwendung auf das Bose-Hubbard Modell
Diagrammatical perturbation theory and application to the Bose-Hubbard model
- Date of Upload:
2009-03-21
- Keywords:
diagrammatical perturbation theory, Bose-Hubbard model, phase diagram, correlation functions
- Abstract:
- In this work a method is presented, which allows one to calculate
the phase diagram of the Bose-Hubbard model for arbitrary dimension and
filling factors via Kato's formulation of the perturbation series. This
formulation enables a diagrammatical ansatz, which acribes the
calculation of observables to the generation and analysis of diagrams.
Within this diploma thesis several types of diagrams necessary to
calculate the phase diagram and correlation functions were generated.
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Last Update: Sat Mar 21 14:29:11 2009