Inverse problems for quantum graphs - Pavel Kurasov

[@belmorsamiha3722]

I recently have been reading some literature on Quantum graphs, why we use the Schrodinger operators why exactly the Schrodinger operator?

[@blackmagicsuiteopus9545]

Hi! I recently discovered Berkolaiko an Kuchment's work about quantum graphs and have been studying it. About your question, I would say we choose the negative second derivative just because of its relevance in real applications of quantum graphs physics. It is just the most common and, I guess it is, as a Hamiltonian, a really good approximation for a lot of scattering problems, etc, we could maybe observe in those particular systems, am I right?

[@SimpMaker]

Thanks