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Schröedinger Equation on Quantum Graphs
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Schröedinger Equation on Quantum Graphs
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Academic year 2017/2018
- Teaching staff
- Riccardo Adami
Claudio Cacciapuoti - Type
- Basic
- Credits/Recognition
- 4 cfu
- Delivery
- Formal authority
- Language
- Italian
- Attendance
- Obligatory
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Sommario del corso
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Course objectives
providing an overview to rigorous quantum mechanics on graphs, including mathematical technicality and introducing some open problems.- Oggetto:
Learning assessment methods
One exercise chosen by the student out of a list.
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Program
Self-adjoint extension of symmetric operators on Hilbert spaces, Stone's theorem, vertex conditions, nonlinear dynamics on graphs.
Suggested readings and bibliography
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- References: G. Berkolaiko, P. Kuchment, Introduction to Quantum Graphs, Applied Mathematics, Mathematical Survey and Monographs 186, American Mathematical Society, 2010.R. Adami, E. Serra, P. Tilli, "Nonlinear dynamics on branched structures and networks", Riv. Mat. Univ. Parma vol. 8 (2017), 109--159.
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Note
Period: March-May 2018
Duration: 20 hours- Oggetto:
