Home > Research > Publications & Outputs > Quantum-mechanics on graphs

Research

Associated organisational units

Links

Text available via DOI:

Keywords

View graph of relations

Quantum-mechanics on graphs

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Quantum-mechanics on graphs. / GRATUS, J ; Lambert, Colin; Robinson, Simon et al.
In: Journal of Physics A: Mathematical and General , Vol. 27, No. 20, 21.10.1994, p. 6881-6892.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

GRATUS, J, Lambert, C, Robinson, S & Tucker, R 1994, 'Quantum-mechanics on graphs', Journal of Physics A: Mathematical and General , vol. 27, no. 20, pp. 6881-6892. https://doi.org/10.1088/0305-4470/27/20/023

APA

GRATUS, J., Lambert, C., Robinson, S., & Tucker, R. (1994). Quantum-mechanics on graphs. Journal of Physics A: Mathematical and General , 27(20), 6881-6892. https://doi.org/10.1088/0305-4470/27/20/023

Vancouver

GRATUS J, Lambert C, Robinson S, Tucker R. Quantum-mechanics on graphs. Journal of Physics A: Mathematical and General . 1994 Oct 21;27(20):6881-6892. doi: 10.1088/0305-4470/27/20/023

Author

GRATUS, J ; Lambert, Colin ; Robinson, Simon et al. / Quantum-mechanics on graphs. In: Journal of Physics A: Mathematical and General . 1994 ; Vol. 27, No. 20. pp. 6881-6892.

Bibtex

@article{fe6a73e9db7f46fc84b7623178f2265b,
title = "Quantum-mechanics on graphs",
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.",
keywords = "OSCILLATIONS, CONDUCTANCE, LATTICE",
author = "J GRATUS and Colin Lambert and Simon Robinson and Robin Tucker",
year = "1994",
month = oct,
day = "21",
doi = "10.1088/0305-4470/27/20/023",
language = "English",
volume = "27",
pages = "6881--6892",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "20",

}

RIS

TY - JOUR

T1 - Quantum-mechanics on graphs

AU - GRATUS, J

AU - Lambert, Colin

AU - Robinson, Simon

AU - Tucker, Robin

PY - 1994/10/21

Y1 - 1994/10/21

N2 - 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.

AB - 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.

KW - OSCILLATIONS

KW - CONDUCTANCE

KW - LATTICE

U2 - 10.1088/0305-4470/27/20/023

DO - 10.1088/0305-4470/27/20/023

M3 - Journal article

VL - 27

SP - 6881

EP - 6892

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 20

ER -