Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 21/10/1994 |
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<mark>Journal</mark> | Journal of Physics A: Mathematical and General |
Issue number | 20 |
Volume | 27 |
Number of pages | 12 |
Pages (from-to) | 6881-6892 |
Publication Status | Published |
<mark>Original language</mark> | English |
We analyse the problem of one-dimensional quantum mechanics on arbitrary graphs as idealized models for quantum systems on spaces with non-trivial topologies. In particular we argue that such models can be made to accommodate the physical characteristics of wavefunctions on a network of wires and offer several derivations of a particular junction condition. Throughout we adopt a continuity condition for the wavefunction at each primitive node in the network. Results are applied to the problem of the energy spectrum of a system containing one and infinitely many junctions.