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Quantum-mechanics on graphs

GRATUS, J and Lambert, Colin and Robinson, Simon and Tucker, Robin (1994) Quantum-mechanics on graphs. Journal of Physics -London- a Mathematical and General, 27 (20). pp. 6881-6892. ISSN 0305-4470

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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 -London- 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: 09 Apr 2014 22:59
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/52287

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