Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph
In this paper, we consider periodic Schrödinger operators on the dumbbell-like metric graph, which is a periodic graph consisting of lines and rings. Let one line and two rings be in the basic period. We see the relationship between the structure of graph and the band-gap spectrum.
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2015-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol35/2/art/opuscula_math_3515.pdf |