By using the gauge-invariance,a Klein-Gordon’s type equation for anyons in external fields is constructed.The equation can be solved exactly in a constant electric and magnetic field,as well as in a quantized electro...By using the gauge-invariance,a Klein-Gordon’s type equation for anyons in external fields is constructed.The equation can be solved exactly in a constant electric and magnetic field,as well as in a quantized electromagnetic field.The analytic forms of solutions are also given in detail.展开更多
The q-deformation of Verma theory for the Lie algebra is studied in this paper. Theindecomposable representations and the induced representations of quantum universal envelop-ing algebra sl_q(3) are constructed on the...The q-deformation of Verma theory for the Lie algebra is studied in this paper. Theindecomposable representations and the induced representations of quantum universal envelop-ing algebra sl_q(3) are constructed on the q-deformed Verma space and the quotient spacesrespectively. We put stress on the discussion of the case in which q is a root of unity. Usingthe new representation constrained in the subalgebra sl_q(2), we systematically constructthe new series of solutions (Yang-Baxter matrices) for Yang-Baxter equation without spectralparameter.展开更多
基金Project supported in part by the National Natural Science Foundation of China.
文摘By using the gauge-invariance,a Klein-Gordon’s type equation for anyons in external fields is constructed.The equation can be solved exactly in a constant electric and magnetic field,as well as in a quantized electromagnetic field.The analytic forms of solutions are also given in detail.
基金Project supported in part by the National Natural Science Foundation of China.
文摘The q-deformation of Verma theory for the Lie algebra is studied in this paper. Theindecomposable representations and the induced representations of quantum universal envelop-ing algebra sl_q(3) are constructed on the q-deformed Verma space and the quotient spacesrespectively. We put stress on the discussion of the case in which q is a root of unity. Usingthe new representation constrained in the subalgebra sl_q(2), we systematically constructthe new series of solutions (Yang-Baxter matrices) for Yang-Baxter equation without spectralparameter.
