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Publications

1995-1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004

The following publications list (somewhat incomplete) includes pointers to preprints stored at the UC Davis front end for the mathematics ArXiv (which doesn't necessarily cover physics papers) and the LANL preprint archive.

Preprint archive searches

2004

Y.Z. Zhang, Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory, Physics Letters A, to appear.

C. Dunning and J. Links, Integrability of the russian doll BCS model, cond-mat/0406234

F. Li and Y.Z. Zhang, Quantum doubles from a class of noncocommutative weak Hopf algebras, Journal of Mathematical Physics 45 (2004), 3266--3281.

X. Zhang and Y.Z. Zhang, Axial anomaly for Eguchi-Hanson metrics with nonzero total mass, Communications in Theoretical Physics, in press.

W.L. Yang, Y.Z. Zhang and M.D. Gould, Exact solution of the XXZ Gaudin model with generic open boundaries, Nuclear Physics B, in press.

S.C. Zhang and Y.Z. Zhang, Braided m-Lie algebras, Letters in Mathematical Physics, in press.

Y.Z. Zhang and M.D. Gould, A unified and complete construction of all finite dimensional irreducible representations of gl(2|2), Journal of Mathematical Physics, in press.

Y.Z. Zhang, X. Liu and W.L. Yang, Primary fields and screening currents of gl(2|2) non-unitary conformal field theory, Nuclear Physics B,to appear.

2003

X.M. Ding, M.D. Gould and Y.Z. Zhang, gl(2|2) current superalgebra and non-unitary conformal field theory, Physics Letters A318 (2003), 354--363.

X.M. Ding, M.D. Gould, C.J. Mewton and Y.Z. Zhang On osp(2|2) conformal field theories Journal of Physics A36 (2003), 7649--7665.

A. Prestes Tonel, A. Foerster, X.-W. Guan and J. Links 2003 Integrable impurity spin ladder systems J. Phys. A: Math. Gen. 36 359-370, cond-mat/0112115

J.R. Links and D. De Wit, 2003 Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: the one-parameter family of minimal typical representations of Uq[gl(2|1)]
J. Knot Theor. Ramif. 12 739-749   math.GT/0004169

H.-Q. Zhou, J. Links, R.H. McKenzie and X.-W. Guan 2003 Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
J. Phys. A: Math. Gen. 36L113-L119  cond-mat/0203009

H.-Q. Zhou, J. Links and R.H. McKenzie 2003 Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate
Int. J. Mod. Phys. B 17 5819-5828  cond-mat/0207540

A. Prestes Tonel, A. Foerster, K.E. Hibberd and J. Links 2003 Integrable generalised spin ladder models based on the SU(1|3) and SU(3|1) algebras
J. Math. Phys.  44  6032-6039  cond-mat/0105302

A. Foerster, J. Links and H.-Q. Zhou 2003 Exact solvability in contemporary physics in Classical and Quantum Nonlinear Integrable Systems: Theory and Applications. Ed. A. Kundu
(Institute of Physics Publishing, Bristol and Philadelphia) 208-233 nlin.SI/0305050

H.-Q. Zhou, J. Links, M.D. Gould and R.H. McKenzie 2003 Solvable models of Bose-Einstein condensates: a new algebraic Bethe ansatz scheme
J. Math. Phys. 44 4690-4701  cond-mat/0211249

J. Links, H.-Q. Zhou, R.H. McKenzie and M.D. Gould, 2003 Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors:
applications to models of Bose-Einstein condensates and metallic nanograins
J. Phys. A: Math. Gen. 36 R63-R104  nlin.SI/0305049

2002

X.M. Ding, M.D. Gould and Y.Z. Zhang, Twisted parafermions, Physics Letters B530 (2002), 197--201.

B.Y. Hou, W.L. Yang, Y.Z. Zhang and Y. Zhen, q-deformed supersymmetric t-J model with a boundary, Journal of Physics A35 (2002), 2593--2608.

M.D. Gould, Y.Z. Zhang and S.Y. Zhao, Elliptic Gaudin models and elliptic KZ equations, Nuclear Physics B630 (2002), 492--508.

X.M. Ding, M.D. Gould and Y.Z. Zhang, A 2(2) parafermions: a new conformal field theory, Nuclear Physics B636 (2002), 549--567.

M.D. Gould, Y.Z. Zhang and S.Y. Zhao, Supersymmetric t-J Gaudin models and KZ equations, Journal of Physics A35 (2002), 9381--9393.

H.-Q. Zhou, J. Links, R.H. McKenzie and M.D. Gould 2002 Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz Phys. Rev. B 56 060502(R)    cond-mat/0106390

X.-W. Guan, A. Foerster, J. Links, H.-Q. Zhou, A. Prestes Tonel and R.H. McKenzie 2002 Integrable variant of the one-dimensional Hubbard model J. Math. Phys. 43 3445-3457   cond-mat/0103059

J. Links, H.-Q. Zhou, R.H. McKenzie and M.D. Gould 2002 Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains Int. J. Mod. Phys. B 16 3429-3438 cond-mat/0110105

J. Links, H.-Q. Zhou, M.D. Gould and R.H. McKenzie 2002 Integrability and exact spectrum of a pairing model for nucleons J. Phys. A: Math. Gen. 35  6459-6469   nlin.SI/0110049

J. Links and H.-Q. Zhou 2002 Exact form factors for the Josephson tunneling current and relative particle number fluctuations in a model of two coupled Bose-Einstein condensates Lett. Math. Phys. 60 275-282  nlin.SI/0202041

X.-Y. Ge, M.D. Gould, J. Links and H.-Q. Zhou 2002 Reply to comment on 'Integrable Kondo impurity in one-dimensional q-deformed t-J models' J. Phys. A: Math. Gen. 35 6197-6201  cond-mat/0204241

X.-W. Guan, A. Foerster, J. Links and H.-Q. Zhou 2002 Integrability and exact solution for coupled BCS systems associated with the su(4) Lie algebra Nucl. Phys. B 642 501-514     cond-mat/0205124

J. Links and K.E. Hibberd 2002 Integrable coupling in a model for Josephson tunneling between non-identical BCS systems Int. J. Mod. Phys. B 16 2009-2015  cond-mat/0206331

2001

Foerster, A., Gould, M. D., Guan, X.-W., Roditi, I. and Zhou, H.-Q. Integrable open boundary conditions for the Bariev model of three coupled XY spin chains, Nuclear Physics, B 612 (2001), 461-478. cond-mat/0105203

Bracken, A. J. , Ge, X.-Y. , Gould, M. D. and Zhou, H.-Q. Integrable extended Hubbard models with boundary Kondo Impurities, Bull. Austral. Math. Soc. 64 (2001), 445-467.

Links, J. R., Zhou, H.-Q., McKenzie, R. H. and Gould, M. D. Ladder operator for the one-dimensional Hubbard model, Phys. Rev. Lett. 86  (2001), 5096-5099. cond-mat/0011368

Ding, X. M., Gould, M. D. and Zhang, Y.-Z. Twisted sl(3, C)^{(2)} current algebra: free field representation and screening currents, Physics Letters B 523 (2001), 367-376.

Bracken, A. J. , Ge, X.-Y. , Gould, M. D., Links, J. R. and Zhou, H.-Q. Algebraic Bethe Ansatz for integrable extended Hubbard models arising from supersymmetric group solutions, J. Phys. A: Math. Gen. 34 (2001), 4459-4474.  cond-mat/0105256

Ge, X.-Y. , Gould, M. D., Links, J. R. and Zhou, H.-Q. Integrable Kondo impurities in the one-dimensional q-deformed t-J models, J. Physics. A: Math. Gen. 34 (2001), 8543-8561. cond-mat/9908191

Gould, M. D., Zhang, Y.-Z. and Isaac, P. S. On quasi-Hopf superalgebras, Commun. Math. Phys. 224 (2001), 341-372. math.QA/9811062

Links, J. R. and Foerster, A. Transfer matrix eigenvalues of the anisotropic multiparametric U model J. Phys. A: Math. Gen. 34 5835-5862 (2001) cond-mat/0008352

Foerster, A., Guan, X.-W., Links, J. R., Roditi, I. and Zhou, H.-Q. Exact solution for the Bariev model with boundary fields Nucl. Phys. B 596 (2001)  525-547  cond-mat/0009045

Foerster, A., Hibberd, K. E., Links, J. R. and Roditi, I. Quantum spin ladder systems associated with su(2|2) J. Phys. A: Math. Gen. 34 (2001) L25-L29  cond-mat/0010035

Prestes Tonel, A., Foerster, A., Links, J. R. and Malvezzi, A. L. Integrable anisotropic spin ladder model. Phys. Rev. B 64 0524420 (2001)

Guan, X.-W., Foerster, A., Links, J. R. and Zhou, H.-Q. Jordan-Wigner fermionization for the one-dimensional Bariev model of three coupled XY chains J. Phys A: Math. Gen. (2001) 34 9357-9365   cond-mat/0106512

2000

 

1999

Bracken, A. J., Doebner, H.-D. and Wood, J. G. Bounds on Integrals of the Wigner Function. Phys. Rev. Letts. 83 (1999), 3758-3761 quant-ph/9905097

Bracken, A. J., Ge, X.-Y., Zhang, Y.-Z. and Zhou, H.-Q. Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution. Bull. Austral. Math. Soc. 59 (1999) 375-390 cond-mat/9802097

Bracken, A. J. and Melloy, G. F. Localizing the Relativistic Electron. quant-ph/9903087

Gould, M. D. and Zhang, Y.-Z. Quasi-Spin Graded-Fermion Formalism and gl(m|n) -> osp(m|n) Branching Rules. math-ph/9905002

Gould, M. D. and Zhang, Y.-Z. Twisted Quantum Affine Superalgebra U_q[gl(m|n)^{(2)] and New U_q[osp(m|n)] Invariant R-matrices. math.QA/9905021

Links, J. R. A construction for R-matrices without difference property in the spectral parameter. solv-int/9907010

Batchelor, M. T., de Gier, J., Links, J. R. and Maslen, M. Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras cond-mat/9911043

Links, J. R. and Foerster, A. Solution of a two leg spin ladder system. Phys. Rev. B 62 (2000) 65-68 cond-mat/9911096

Links, J. R., Gould, M. D. and Zhang, Y.-Z. Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras. math.QA/9904069

Scott, A. J., Holmes, C. A. and Milburn, G. J. Quantum and classical chaos for a single trapped ion. Phys. Rev. A 61 (2000) 013401 chao-dyn/9903012

Zhou, H.-Q., Ge, X.-Y. and Gould, M. D. Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model Phys. Lett. A 251 (1999) 279-285 cond-mat/9809055

Zhou, H.-Q., Ge, X.-Y. and Gould, M. D. Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model J. Phys. A: Math Gen. 32 (1999) 5383-5388 cond-mat/9811048

Zhou, H.-Q., Ge, X.-Y. and Gould, M. D. Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons. J. Phys. A: Math Gen. 32 (1999) L137-L142 cond-mat/9811049

Zhou, H.-Q., Ge, X.-Y., Links, J. R. and Gould, M. D. Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model Nuclear Physics B 546 [FS] (1999) 779-799 cond-mat/9809056

1998

 

1997

Bracken, A. J., Ge, X.-Y., Zhang, Y.-Z. and Zhou, H.-Q. An open-boundary integrable model of three coupled XY spin chains. Nuclear Physics B 516 [FS] (1998) 603-622 cond-mat/9710171

Gould, M. D., Delius, G. W. and Gardner, C. The structure of quantum Lie algebras for the classical series B_1, C_1 and D_1. math.QA/9706169

Gould, M. D. and Stoilova, N. I. Eigenvalues of Casimir operators for gl(m|infinity). physics/9709033

Gould, M. D. and Stoilova, N. I. Casimir invariants and characteristic identities for gl(infinity). J. Math. Phys. 38 (1997) 4783-4793. physics/9612009

Gould, M. D. and Zhang, Y.-Z. On Super RS algebra and Drinfield Realization of Quantum Affine Superalgebras. q-alg/9712011

Zhang, R. B. Vector Coherent State Realization of Representations of the Affine Lie Algebra sl(2). math.QA/9711142

Carey, A. L., Paolucci, A. and Zhang, R. B. Quantum Group Duality and the Cuntz Algebra. math.QA/9705160

Delbourgo, R. and Zhang, R. B. Minimal Uncertainty States for Quantum Groups. math.QA/9611161

Gover, A. R. and Zhang, R. B. Geometry of Quantum Homogeneous Vector Bundles and Representation Theory of Quantum Groups I. Rev. Math. Phys. 11(5) (1999), 533-552 math.QA/9705156

Scheunert, M. and Zhang, R. B. Cohomology of Lie superalgebras and of their generalizations. math.QA/9701177


 

1995-1996

Gould, M. D. and Delius, G. W. Quantum Lie algebras; their existence, uniqueness and q-antisymmetry. math.QA/9605165

Gould, M. D., Zhang, Y.-Z. and Delius, G. W. Twisted quantum affine algebras and solutions to the Yang-Baxter equation. math.QA/9508152

Gould, M. D., Delius, G. W., Huffmann, A. and Zhang, Y.-Z. Quantum Lie algebras associated to U_q(gl(n)) and U_q(sl(n)). math.QA/9508153

Gould, M. D., Delius, G. W. and Gardner, C. The structure of quantum Lie algebras for the classical series B_1, C_1 and D_1. math.QA/9706169

Gould, M. D. and Stoilova, N. I. Casimir invariants and characteristic identities for gl(infinity). J. Math. Phys. 38 (1997) 4783-4793. physics/9612009

Gould, M. D., Tsohantjis, I., Links, J. R. and Zhang, Y.-Z. Twisted Quantum Affine Superalgebra U_q[sl(2|2)^2], U_q[osp(2|2)] Invariant R-matrices and a New Integrable Electronic Model. cond-mat/9611014

Links, J. R., Gould, M. D. and Zhang, Y.-Z. Type-I Quantum Superalgebras, q-supertrace and Two-Variable Link Polynomials. J. Math. Physics. 37 (1996) 987 math.QA/9506164

Links, J. R., Gould, M. D. and Zhang, Y.-Z. Eigenvalues of Casimir Invariants for Type-I Quantum Superalgebras. Lett. Math. Phys. 36 (1996) 415-425 math.QA/9506159

Zhang, R. B. Topological Invariants for Lens Spaces and Exceptional Quantum Groups. math.QA/9612174

Zhang, R. B. Symmetrizable Quantum Affine Superalgebras and their Representations. math.QA/9612160

Zhang, R. B. Bott-Borel-Weil Construction for Quantum Supergroup U_q[gl(m|n)]. math.QA/9612156

Zhang, R. B. Structure and Representations of the Quantum General Linear Supergroup. math.QA/9611164

Zhang, R. B. The gl(M|N) Super Yangian and its Finite Dimensional Representations. math.QA/9507169

Zhang, R. B. Quantum supergroups and topological invariants of three-manifolds. hep-th/9408177

Zhang, R. B. Finite dimensional representations of U_q(C(n+1)) at arbitrary q. hep-th/9306036

Delbourgo, R. and Zhang, R. B. Minimal Uncertainty States for Quantum Groups. math.QA/9611161

Zhang, R. B. and Lee, H. C. Lickorish Invariant and Quantum osp(1|2). math.QA/9611160




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