GRATUS, J and Lambert, Colin and Robinson, Simon and Tucker, Robin (1994) Quantum-mechanics on graphs. Journal of Physics A: Mathematical and General, 27 (20). pp. 6881-6892. ISSN 0305-4470
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Physics A: Mathematical and General |
| Uncontrolled Keywords: | OSCILLATIONS ; CONDUCTANCE ; LATTICE |
| Subjects: | UNSPECIFIED |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 52287 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 10 Jan 2012 11:41 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 20:03 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/52287 |
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