SUPERSYMMETRIC SU(1|2) GAUDIN MODEL

In this paper, we propose a supersymmetric SU(1|2) Gaudin model and have derived its eigenvalues. We also present the well-defined eigenstates through the quasi-classical limit of the eigenstates in the supersymmetric t-J model.     

EXACT SOLUTION FOR EXTENDED ESSLER-KOREPIN-SCHOUTENS MODEL WITH OPEN BOUNDARY CONDITIONS

The eigenvalue of the transfer matrix is obtained for the extended Essler-Korepin-Schoutens model with open boundary conditions. The energy of the system and the Bethe equations of the model are given also.     

TRIGONOMETRIC SU(N) GAUDIN MODEL

In this paper, we obtain the eigenstates and the eigenvalues of the Hamiltonians of the trigonometric SU(N) Gaudin model based on the quasi-classical limit of the trigonometric SU(N) chain with the periodic boundary condition. By using the quantum inverse scattering method, we also obtain the eigenvalues of the generating function of the trigonometric SU(N) Gaudin model.     

HXXZ模型与量子SUq(2)群的表示

本文利用Bethe Ansatz方法讨论具有特定的边界条件的H_xxz模型与量子SU_q(2)群表示,证明对任意q值,BA态是量子SU_q(2)的最高权态,由此生成量子群的不可约表示,对q=e^ir为单位根,证明Bethe Ansatz方程存在新的解组,利用极限方法,导出|b′>,构造了量子SU_q(2)群的不完全可约表示(Ⅰ型)和不可约表示(Ⅱ型)。 关键词：     

推广的多分量费米型量子可导非线性Schrdinger模型的可积性

导出了推广的多分量费米型量子可导非线性Schr dinger模型的哈密顿量 .利用代数Betheansatz方法 ,找到了此模型的量子monodromy矩阵所满足的量子Yang Baxter方程 ,并证明了其可积性 .     

Nonautonomous Dark Solitons and Rogue Waves in a Graded-Index Grating Waveguide

We analytically present a family of nonautonomous dark solitons and rogue waves in a planar graded-index grating waveguide with an additional long-period grating.The dark solitons whose dynamics described by the explicit expressions such as the valley,background and wave central position are investigated.We find that dark soliton's depth and the long-period grating have effects on soliton's wave central position;the gain or loss term affects directly both the background and valley of the soliton.For rogue waves,it is reported that one can modulate the distribution of the light intensity by adjusting the parameters of the long-period grating.Additionally,more rogue waves with different evolution behaviors in this special waveguide are demonstrated clearly.     

Spontaneous symmetry breaking vacuum energy in cosmology

The gravitational effect of spontaneous symmetry breaking vacuum energy density is investigated by subtracting the flat space-time contribution from the energy in the curved space-time. We find that the remaining effective energy-momentum tensor is too small to cause the acceleration of the universe, although it satisfies the characteristics of dark energy. However, it could provide a promising explanation to the puzzle of why the gravitational effect produced by the huge symmetry breaking vacuum energy in the electroweak theory has not been observed, as it has a sufficiently small value (smaller than the observed cosmic energy density by a factor of 1032).     

A new metric for rotating black holes in Gauss-Bonnet gravity

This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with a nonvanishing angular momentum in five dimensional anti-de Sitter spaces.Taking the angular momentum parameter a up to second order,the slowly rotating black hole solutions are obtained by working directly in the action.In addition,it also finds that this method is applicable in higher order Lovelock gravity.     

Entropy of Schwarzschild-de Sitter Black Hole with Extra Term Correction

The thermodynamical quantities are usually considered as the independent ones in the case of the existence of multi-horizons. Comparing the first laws for the event horizon and cosmological horizon of Schwarzschild-de Sitter space-time, we find them share the same values of mass, charge and cosmological constant, which might imply that there exists entanglement between the two horizons. Naturally we attempt to add an extra term, which contributed to the total entropy of the black hole. We recalculate the total entropy and the effective specific heat by taking the globally effective first law and find that they will be emanative when the two horizons approach to each other.     

么正最小模型的聚合与辫子矩阵的明显表示

本文利用Feigin-Fuch积分法明显地导出了么正最小模型的聚合和辫子矩阵,证明了D-F超方程的解是存在的.