INTEGRABLE QUANTUM CHAIN AND THE REPRESENTATION OF QUANTUM GROUP SUq(2) | Zendy

Bo-Yu Hou | Zendy; Shi Kang-Jie | Zendy; YANG ZHONG-XIA | Zendy; Yue Rui-Hong | Zendy

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INTEGRABLE QUANTUM CHAIN AND THE REPRESENTATION OF QUANTUM GROUP SUq(2)

Author(s) -

Bo-Yu Hou,

Shi Kang-Jie,

YANG ZHONG-XIA,

Yue Rui-Hong

Publication year - 1992

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.41.201

Subject(s) - bethe ansatz , integrable system , physics , mathematical physics , type (biology) , quantum group , root of unity , representation (politics) , quantum , spin (aerodynamics) , pure mathematics , quantum mechanics , irreducible representation , chain (unit) , mathematics , thermodynamics , ecology , politics , political science , law , biology

We discuss the XXZ spin chain with certain boundary term and the representation of quantum group SUq(2). It is shown that Bethe Ansatz states are highest weight states of SUq(2), with q arbitrary We construct the irreducible representation of the quantum group. For q a rational root of unity, we show that there are new solutions to the BA equations, We derived the state vectors | b′> by taking certain limit, from which we construct the type I and type Ⅱ representations of SUq(2).

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