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pro vyhledávání: '"Gould, M. D."'
Autor:
Gould, M. D., Lekatsas, T.
We introduce quasi-Hopf $*$-algebras i.e. quasi-Hopf algebras equipped with a conjugation (star) operation. The definition of quasi-Hopf $*$-algebras proposed ensures that the class of quasi-Hopf $*$-algebras is closed under twisting and additionally
Externí odkaz:
http://arxiv.org/abs/math/0604520
The Perk--Schultz model may be expressed in terms of the solution of the Yang--Baxter equation associated with the fundamental representation of the untwisted affine extension of the general linear quantum superalgebra $U_q[sl(m|n)]$, with a multipar
Externí odkaz:
http://arxiv.org/abs/nlin/0509019
Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so contains a \textit{universal $R$-matrix} in the tensor product algebra which satisfies the Yang-Baxter equation. Applying the vector representation $\pi$, which acts on the vector
Externí odkaz:
http://arxiv.org/abs/math/0506387
For each quantum superalgebra $U_q[osp(m|n)]$ with $m>2$, an infinite family of Casimir invariants is constructed. This is achieved by using an explicit form for the Lax operator. The eigenvalue of each Casimir invariant on an arbitrary irreducible h
Externí odkaz:
http://arxiv.org/abs/math/0506110
Autor:
Gould, M. D., Lekatsas, T.
Publikováno v:
J.Phys.A38:10123-10144,2005
The Drinfeld twist for the opposite quasi-Hopf algebra is determined and is shown to be related to the (second) Drinfeld twist. The twisted Drinfeld twist is investigated. In the quasi-triangular case it is shown that the Drinfeld u operator arises f
Externí odkaz:
http://arxiv.org/abs/math/0504184
Publikováno v:
J. Phys. A: Math. Gen. 36 (2003) R63-R104
In this review we demonstrate how the algebraic Bethe ansatz is used for the calculation of the energy spectra and form factors (operator matrix elements in the basis of Hamiltonian eigenstates) in exactly solvable quantum systems. As examples we app
Externí odkaz:
http://arxiv.org/abs/nlin/0305049
Publikováno v:
J. Math. Phys. 44 (2003) 4690-4701
A new algebraic Bethe ansatz scheme is proposed to diagonalise classes of integrable models relevant to the description of Bose-Einstein condensates in dilute alkali gases. This is achieved by introducing the notion of Z-graded representations of the
Externí odkaz:
http://arxiv.org/abs/cond-mat/0211249
Publikováno v:
J.Phys.A35:6459-6470,2002
A pairing model for nucleons, introduced by Richardson in 1966, which describes proton-neutron pairing as well as proton-proton and neutron-neutron pairing, is re-examined in the context of the Quantum Inverse Scattering Method. Specifically, this sh
Externí odkaz:
http://arxiv.org/abs/nlin/0110049
Publikováno v:
Int. J. Mod. Phys. B 16 (2002) 3429-3438
A model is introduced for two reduced BCS systems which are coupled through the transfer of Cooper pairs between the systems. The model may thus be used in the analysis of the Josephson effect arising from pair tunneling between two strongly coupled
Externí odkaz:
http://arxiv.org/abs/cond-mat/0110105
Publikováno v:
Phys. Rev. B 56 (2002) 060502(R)
Superconducting pairing of electrons in nanoscale metallic particles with discrete energy levels and a fixed number of electrons is described by the reduced BCS model Hamiltonian. We show that this model is integrable by the algebraic Bethe ansatz. T
Externí odkaz:
http://arxiv.org/abs/cond-mat/0106390