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Advances in quantum waveguide dynamics, with applications to physical and biological nanostructures

Published online by Cambridge University Press:  17 April 2009

Iain John Clark
Iain John Clark
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072Australia e-mail: ijc@maths.uq.edu.au
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 525 - 527
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Barker, J.R. and Ferry, D.K., ‘On the physics and modeling of small semiconductor devices’, Solid-St. Electron. 23 (1980), 519–530.CrossRefGoogle Scholar
[2]Buot, F.A., ‘Mesoscopic physics and nanoelectronics: nanoscience and nanotechnology’, Phys. Rep. 234 (1993), 73–174.CrossRefGoogle Scholar
[3]Clark, I.J., ‘The geometric curvature of microtubules may play a part in information processing’, Bioelectrochemistry and Bioenergetics 41 (1996), 59–61.CrossRefGoogle Scholar
[4]Clark, I.J. and Bracken, A.J., ‘Effective potentials of quantum strip waveguides’, J. Phys. A 29 (1996), 339–348.CrossRefGoogle Scholar
[5]Clark, I.J. and Bracken, A.J., ‘Bound states in tubular quantum waveguides with torsion’, J. Phys. A 29 (1996), 4527–4535.CrossRefGoogle Scholar
[6]Duclos, P. and Exner, P., ‘Curvature induced bound states in quantum waveguides in two and three dimensions’, Rev. Math. Phys. 7 (1995), 73–102.CrossRefGoogle Scholar
[7]Exner, P., ‘Quantum waveguides: energy bounds and critical thickness’, in Rigorous results in Quantum dynamics, (Dittrich, J. and Exner, P., Editors) (World Scientific, Singapore, 1991), pp. 125–142.Google Scholar
[8]Exner, P., ‘Bound states in quantum waveguides of a slowly decaying curvature’, J. Math. Phys. 34 (1993), 23–28.CrossRefGoogle Scholar
[9]Exner, P. and Šeba, P., ‘Bound states in curved quantum waveguides’, J. Math. Phys. 30 (1989), 2574–2580.CrossRefGoogle Scholar
[10]Hameroff, S.R. and Penrose, R., ‘Orchestrated reduction of quantum coherence in brain microtubules - a model for consciousness’, Math. Comput. Simulation 40 (1996), 453–480.CrossRefGoogle Scholar
[11]Kelly, M.J., Low dimensional semiconductors: materials, physics, technology, devices (Clarendon Press, Oxford, 1995).CrossRefGoogle Scholar