![]() |
![]() |
![]() |
PublicationsThe 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
2004Y.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. 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)]
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 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
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 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 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. 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: 2002X.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 2001Foerster, 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
20001999Bracken, 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
1997Bracken, 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
1995-1996Gould, 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
|
|
||||||