Quantum graphs: I. Some basic structures
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- 1 January 2004
- journal article
- research article
- Published by Taylor & Francis in Waves in Random Media
- Vol. 14 (1) , S107-S128
- https://doi.org/10.1088/0959-7174/14/1/014
Abstract
A quantum graph is a graph equipped with a self-adjoint differential or pseudo-differential Hamiltonian. Such graphs have been studied recently in relation to some problems of mathematics, physics and chemistry. The paper has a survey nature and is devoted to the description of some basic notions concerning quantum graphs, including the boundary conditions, self-adjointness, quadratic forms, and relations between quantum and combinatorial graph models.Keywords
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