Continuum limit of the lattice quantum graph Hamiltonian
نویسندگان
چکیده
We consider the quantum graph Hamiltonian on square lattice in Euclidean space, and we show that spectrum of converges to corresponding Schr\"odinger operator space continuum limit, eigenfunctions eigenprojections also converge some sense. employ discrete as intermediate operator, use a recent result by second third author limit operator.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2022
ISSN: ['0377-9017', '1573-0530']
DOI: https://doi.org/10.1007/s11005-022-01576-5