<i>d</i>-Path Laplacians and Quantum Transport on Graphs
We generalize the Schrödinger equation on graphs to include long-range interactions (LRI) by means of the Mellin-transformed <i>d</i>-path Laplacian operators. We find analytical expressions for the transition and return probabilities of a quantum particle at the nodes of a ring graph. W...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/4/527 |