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AN INTEGRABLE AND EXACTLY SOLVABLE NON-HERMITIAN BCS HAMILTONIAN AND GENERALISED EXCLUSION STATISTICS

Part of: Equilibrium statistical mechanics Groups and algebras in quantum theory Scattering theory

Published online by Cambridge University Press:  02 June 2015

AMIR MOGHADDAM
AMIR MOGHADDAM*
Affiliation:
Department of Mathematics, Faculty of Science, University of Queensland, Brisbane St Lucia, Queensland 4072, Australia email [email protected]
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Abstract

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Keywords

quantum inverse scattering methodquasitriangular Hopf algebraexactly solvable systemsBCS modelnon-Hermitian HamiltonianHeisenberg chain model with impurities

MSC classification

Primary: 81U15: Exactly and quasi-solvable systems
Secondary: 81R12: Relations with integrable systems 81U40: Inverse scattering problems 82B23: Exactly solvable models; Bethe ansatz
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 346 - 347
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Links, J., Moghaddam, A. and Zhang, Y. Z., ‘Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model’, J. Phys. A: Math. Theor. 45(46) (2012), 462002.CrossRefGoogle Scholar
Links, J., Moghaddam, A. and Zhang, Y. Z., ‘BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics’, J. Phys. A: Math. Theor. 46(30) (2013), 305205.CrossRefGoogle Scholar
Moghaddam, A., Links, J. and Zhang, Y. Z., ‘Exactly solvable, non-Hermitian BCS Hamiltonian’, in: Symmetries and Groups in Contemporary Physics, Proc. XXIX Int. Colloq. Group-theoretical Methods in Physics, Tianjin, China, 20–26 August 2012, Nankai Series in Pure, Applied Mathematics and Theoretical Physics, 11 (eds. Bai, C. et al. ) (World Scientific, Hackensack, NJ, 2013), 627–630.Google Scholar