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math-ph2013★ 13 cited
Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)
Mark D. Gould, Phillip S. Isaac, Jason L. Werry
Using our recent results on eigenvalues of invariants associated to the Lie superalgebra gl(m|n), we use characteristic identities to derive explicit matrix element formulae for al…
nlin.SI2013
Exactly Solvable BCS-BEC crossover Hamiltonians
Andrew Birrell, Phillip S. Isaac, Jon Links
We demonstrate a novel approach that allows the determination of very general classes of exactly solvable Hamiltonians via Bethe ansatz methods. This approach combines aspects of b…