Waves in Random Media, volume 14, issue 1, pages S107-S128
Quantum graphs: I. Some basic structures
Peter Kuchment
1
Publication type: Journal Article
Publication date: 2004-01-01
General Physics and Astronomy
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.
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TY - JOUR
DO - 10.1088/0959-7174/14/1/014
UR - https://doi.org/10.1088/0959-7174/14/1/014
TI - Quantum graphs: I. Some basic structures
T2 - Waves in Random Media
AU - Kuchment, Peter
PY - 2004
DA - 2004/01/01
PB - Taylor & Francis
SP - S107-S128
IS - 1
VL - 14
SN - 0959-7174
SN - 1361-6676
ER -
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@article{2004_Kuchment,
author = {Peter Kuchment},
title = {Quantum graphs: I. Some basic structures},
journal = {Waves in Random Media},
year = {2004},
volume = {14},
publisher = {Taylor & Francis},
month = {jan},
url = {https://doi.org/10.1088/0959-7174/14/1/014},
number = {1},
pages = {S107--S128},
doi = {10.1088/0959-7174/14/1/014}
}
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Kuchment, Peter. “Quantum graphs: I. Some basic structures.” Waves in Random Media, vol. 14, no. 1, Jan. 2004, pp. S107-S128. https://doi.org/10.1088/0959-7174/14/1/014.
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ISSN
09597174
(Print)
13616676
(Electronic)