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math-ph2026
Bethe ansatz solution to integrable bosonic cube networks
Lachlan Bennett, Phillip S. Isaac, Jon Links
We study two extended Bose-Hubbard-type Hamiltonians representing bosonic networks restricted to the graph of a cube. For both Hamiltonians, we demonstrate that Bethe ansatz method…
math-ph2025
The Dirac oscillator, generalised parastatistics and colour Lie superalgebras
Phillip S. Isaac, Mitchell Ryan
We study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the -graded Lie su…