Discrete Schrödinger operators on a graph
1992 ◽
Vol 125
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pp. 141-150
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Keyword(s):
In this paper, we study some spectral properties of the discrete Schrödinger operator = Δ + q defined on a locally finite connected graph with an automorphism group whose orbit space is a finite graph.The discrete Laplacian and its generalization have been explored from many different viewpoints (for instance, see [2] [4]). Our paper discusses the discrete analogue of the results on the bottom of the spectrum established by T. Kobayashi, K. Ono and T. Sunada [3] in the Riemannian-manifold-setting.
2013 ◽
Vol 22
(6)
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pp. 885-909
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Keyword(s):
Keyword(s):
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2010 ◽
Vol 370
(1)
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pp. 146-158
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1993 ◽
Vol 45
(4)
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pp. 863-878
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Keyword(s):
1966 ◽
Vol 14
(4)
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pp. 729-738
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1998 ◽
Vol 326
(9)
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pp. 1145-1150
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