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

DOI10.1017/S0004972715000519zbMath1323.81098OpenAlexW1899109340MaRDI QIDQ2949818

Amir Moghaddam

Publication date: 2 October 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715000519

zbMATH Keywords

BCS modelquantum inverse scattering methodnon-Hermitian Hamiltonianexactly solvable systemsquasitriangular Hopf algebraHeisenberg chain model with impurities

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Exactly and quasi-solvable systems arising in quantum theory (81U15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Hopf algebras and their applications (16T05)

Cites Work

• BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics
• Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model

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