Jon Links

The quantum inverse scattering method with anyonic grading

Publisher: IOP Publishing

Date: 16-10-2008

DOI: 10.1088/1751-8113/41/46/465201

Integrability of an extended -wave pairing Hamiltonian

Publisher: Elsevier BV

Date: 2013

DOI: 10.1016/J.NUCLPHYSB.2012.09.006

Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models

Publisher: IOP Publishing

Date: 31-08-2012

DOI: 10.1088/1742-5468/2012/08/P08019

Ground-state Bethe root densities and quantum phase transitions

Publisher: IOP Publishing

Date: 05-01-2015

DOI: 10.1088/1751-8113/48/4/045204

Exact solution of the $p+{\rm{i}}p$ Hamiltonian revisited: duality relations in the hole-pair picture

Publisher: IOP Publishing

Date: 19-08-2015

DOI: 10.1088/1751-8113/48/37/374001

New quasi-exactly solvable class of generalized isotonic oscillators

Publisher: IOP Publishing

Date: 16-09-2014

DOI: 10.1088/1751-8113/47/39/395305

Eigenvalues of Casimir invariants of Uq (gl(m/n))

Publisher: AIP Publishing

Date: 12-1993

DOI: 10.1063/1.530246

Abstract: A method is investigated for determining the eigenvalues of the Casimir invariants of the quantum supergroup Uq(gl(m‖n)) when acting on irreducible highest weight representations. This leads to a simple eigenvalue formula expressible in terms of the highest weight labels.

Multiparameter link invariants from quantum supergroups

Publisher: AIP Publishing

Date: 03-1994

DOI: 10.1063/1.530595

Abstract: A method is developed for constructing multiparameter link invariants for a class of representations of the quantum supergroups Uq(gl(m‖n)). The cases Uq(gl(1‖1)) and Uq(gl(2‖1)) are studied in detail. In the former we obtain a multiparameter generalization of the Alexander–Conway invariants.

QUANTUM SUPERGROUPS, LINK POLYNOMIALS AND REPRESENTATION OF THE BRAID GENERATOR

Publisher: World Scientific Pub Co Pte Lt

Date: 06-1993

DOI: 10.1142/S0129055X93000097

Abstract: Unlike the quantum group case, it is shown that the braid generator σ is not always diagonalizable on V ⊗ V, V an irreducible module for a quantum supergroup. Nevertheless a generalization of the Reshetikhin form of the braid generator, obtained previously for quantum groups, is determined corresponding to every finite dimensional standard cyclic module V of a quantum supergroup. This result is applied to obtain a general closed formula for link polynomials arising from standard cyclic modules of a quantum supergroup belonging to a certain class. As explicit ex les we determine link polynomials corresponding to the rank 2 symmetric tensor representation of U q [gl(m|m)] and the defining representation of U q [osp(2n|2n)].

Extended Calogero models: a construction for exactly solvable kN-body systems

Publisher: IOP Publishing

Date: 16-10-2018

DOI: 10.1088/1751-8121/AAE4CC

Discovery Projects - Grant ID: DP110101414

Start Date: 2011

End Date: 01-2015

Amount: $300,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0557949

Start Date: 2005

End Date: 12-2008

Amount: $273,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP200101339

Start Date: 01-2020

End Date: 12-2024

Amount: $390,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP150101294

Start Date: 2015

End Date: 12-2019

Amount: $251,500.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0663773

Start Date: 2006

End Date: 01-2009

Amount: $501,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0344455

Start Date: 2003

End Date: 12-2006

Amount: $245,000.00

Funder: Australian Research Council

Special Research Initiatives - Grant ID: SR0354741

Start Date: 2004

End Date: 12-2004

Amount: $10,000.00

Funder: Australian Research Council