一个经典完全可积的非共形约束的SL(2,R)Wess-Zumino-Novikov-Witten模型(Ⅱ)

本文在文献［４］的基础上，讨论了广义ｓｉｎｈ－Ｇｏｒｄｏｎ体系的Ｄｒｅｓｓｉｎｇ对称性及其可定域化的条件。     

一个经典完全可积的非共形约束的SL（2,R）Wess—Zumino—Novikov—Wit…

本文在文献［４］的基础上，讨论了广义ｓｉｎｈ－Ｇｏｒｄｏｎ体系的Ｄｒｅｓｓｉｎｇ对称性及其可定域化的条件。     

耗散系数和内半径对圆对称环域Josephson结中孤子态的影响

耗散系数和内半径对圆对称环域Ｊｏｓｅｐｈｓｏｎ结中孤子态的影响徐昆明浙江大学物理系，杭州，３１００２７环域结的位相差中随时间演变的扰动Ｓｉｎｅ－Ｇｏｒｄｏｎ方程（ＳＧＥ）比ｉｎ－ｌｉｎｅ结的多出了与径向尸成反比的一项（１／р）（ｄф／ｄＰ），它的影响...     

Passive Q-switching of Pulsed and CW Nd: YAG Lasers with Cr~(4 ): YAG

Ｐａｓｓｉｖｅ　Ｑ－ｓｗｉｔｃｈｉｎｇ　ｏｆ　Ｐｕｌｓｅｄ　ａｎｄ　ＣＷ　Ｎｄ：ＹＡＧ　Ｌａｓｅｒｓ　ｗｉｔｈ　Ｃｒ￣（４＋）：ＹＡＧＰａｓｓｉｖｅＱ－ｓｗｉｔｃｈｉｎｇｏｆＰｕｌｓｅｄａｎｄＣＷＮｄ：ＹＡＧＬａｓｅｒｓｗｉｔｈＣｒ￣（４＋）：ＹＡＧ...     

MBE和MOCVD生长的AlGaAs／GaAsGRIN—SCH SQW激光器深中心的比较

应用深能级瞬态谱（ＤＬＴＳ）技术详细研究分子束外延（ＭＢＥ）和金属有机物化学汽相淀积（ＭＯＣＶＤ）生长的ＡｌＧａＡｓ／ＧａＡｓ ｇｒａｄｅｄ ｉｎｄｅｘ ｓｅｐａｒａｔｅ ｃｏｎｆｉｎｅｍｅｎｔ ｈｅｔｅｒｏｓｔｒｕｃｔｕｒｅ ｓｉｎｇｌｅ ｑｕａｎｔｕｍ ｗｅｌｌ（ＧＲＩＮ－ＳＣＨ ＳＱＷ）激光器的深中心。结果表明，在激光器的ｎ－ＡｌＧａＡｓ层里除众所周知的ＤＸ中心外，还存在着较大浓度和俘获截面     

活动标架系下O（n）非线性σ模型Laxpair矩阵的Poisson—Lie结构

在活动标架系下给出了Ｏ（ｎ）／Ｏ（ｎ－１）对称空间上非线性σ模型的Ｐｏｉｓｓｏｎ－Ｌｉｅ括号，并用协变分解的方法讨论了活动标架与固定标架系的协交关系，得到的ｒ、ｓ矩阵可以明显地看出其依赖于场量的部分是由于Ｓｎ－１流形上的联络引起的．     

同一个非动力学r矩阵所对应的有理Ruijsenaars—Schneid …

构造了有理Ｒｕｉｊｓｅｎａａｒｓ－Ｓｃｈｎｅｉｄｅｒ模型（ｎ＝２）的新的Ｌａｘ算子,发现相应的ｒ矩阵是非动力学的,它与Ｃａｌｏｇｅｒｏ－Ｍｏｓｅｒ模型具有相同的ｒ矩阵。     

原子-辐射场相互作用系统量子统计力学的相干态表述

用Ｈｅｉｓｅｎｂｅｒｇ－ｗｅｙｌｅ（简称Ｈ－Ｗ）群直积ＳＵ（２）群上的相干态表述了原子－辐射场相互作用系统的量子统计力学,引入一个新定义的分布函数,将平衡态下密度矩阵的Ｂｌｏｃｈ方程转换成可分离变量的偏微分方程,给出了方程的形式解,算符和其平均值的表示。     

外延Zn_（1－x）Mg_xSe半导体合金的拉曼散射谱研究

外延Ｚｎ＿（１－ｘ）Ｍｇ＿ｘＳｅ半导体合金的拉曼散射谱研究黄大鸣，王杰，刘晓晗，王东红，靳彩霞，郑玉祥（复旦大学物理系和应用表面物理国家重点实验室上海２００４３３）ＲａｍａｎＳｔｕｄｙｏｎＺｎ＿（１－ｘ）Ｍｇ＿ｘＳｅＡｌｌｏｙｓＥｐｉｔａｘｉａｌＧｒ...     

Investigation on Self-Q-Switched Er~(3 )-Doped Fiber Lasers

ＩｎｖｅｓｔｉｇａｔｉｏｎｏｎＳｅｌｆ－Ｑ－ＳｗｉｔｃｈｅｄＥｒ￣（３＋）－ＤｏｐｅｄＦｉｂｅｒＬａｓｅｒｓ￥ＳＵＮＪｕｎｑｉａｎｇ；ＨＵＡＮＧＤｅｘｉｕ（ＤｅｐａｒｔｍｅｎｔｏｆＯｐｔｏｅｌｅｃｔｒｏｎｉｃＥｎｇｉｎｅｅｒｉｎｇＨｕａｚｈｏｎｇＵｎ...     

r-Matrix Structure for a Restricted Flow with Bargmann Constraint

This paper deals with the integrability of a finite-dimensional Hamiltonian system linked with the generalized coupled KdV hierarchy. For this purpose the associated Lax representation is presented after an elementary calculation. It is shown that the Lax representation enjoys a dynamical r-matrix formula instead of a classical one in the Poisson bracket on R2N. Consequently the resulting system is proved to be completely integrable in view of its r-matrix structure.     

r-Matrix Structure for a Restricted Flow with Bargmann Constraint

This paper deals with the integrability of a finite-dimensional Hamiltonian system linked with the generalized coupled KdV hierarchy. For this purpose the associated Lax representation is presented after an elementary calculation. It is shown that the Lax representation enjoys a dynamical r-matrix formula instead of a classical one in the Poisson bracket on R^2N. Consequently the resulting system is proved to be completely integrable in view of its r-matrix structure.     

Formulas to Solve the （2＋1）—Dimensional System：The （2＋1）—Extension of Classical Boussinesq System

We deal with the (2 1)-extension of classical Boussinesq system,which can reduce to several meaningful (1 1)-dimensional systems.By studying its lax paire,we put forward invariances of Lax pair at first,then a recursion formula depending on an arbitrary function is derived,At last,some solutions of the (2 1)-extension of classical Boussinesq system are digged out by using the formula.     

同一个非动力学r矩阵所对应的有理Ruijsenaars–Schneider模型(n=2)及Calogero–Moser模型

构造了有理Ruijsenaars–Schneider模型(n=2)的新的Lax算子,发现相应的r矩阵是非动力学的,它与Calogero–Moser模型具有相同的r矩阵.     

The Nondynamical r-Matrix Structure of the Elliptic Ruijsenaars-Schneider Model with N = 2

We demonstrate that in a certain gauge the elliptic Ruijsenaars-Schneider model with N = 2 admits a nondynamical r-matrix structure and the corresponding classical rmatrix is the same as that of its nonrelativistic counterpart (CalogereMoser model) in the same gauge. The relation between our (classical) Lax operator and the Lax operator given by Ruijsenaars is also obtained.     

Symmetry Reductions of a Lax Pair for （2＋1）-Dimensional Differential Sawada-Kotera Equation

Based on the symbolic computational system Maple, the similarity reductions of a Lax pair for the （2＋1 ）-dimensional differential Sawada Kotera （SK） equation by the classical Lie point group method, are presented. We obtain several interesting reductions. Comparing the reduced Lax pair＇s compatibility with the reduced SK equation under the same symmetry group, we find that the reduced Lax pairs do not always lead to the reduced SK equation. In general, the reduced equations are the subsets of the compatibility conditions of the reduced Lax pair.     

Analytical Bethe Ansatz,Canonical Bäcklund Transformation and Q-Operator For A New Discrete Integrable Heirarchy

A new discrete heiarchy of integrable equations is generated from a new Lax Operator and a canonical Bäcklund transformation of the system is derived using Sklyanin’s formalism, based on the classical r-matrix. By quantising the system a quantum analogue of the corresponding canonical Bäcklund transformation is obtained and certain properties of the associated Q-operator are examined. Finally the analytical Bethe Ansatz is used to solve for the spectrum.     

Calogero-Moser Lax pairs with spectral parameter for general Lie algebras

We construct a Lax pair with spectral parameter for the elliptic Calogero-Moser Hamiltonian systems associated with each of the finite-dimensional Lie algebras, of the classical and of the exceptional type. When the spectral parameter equals one of the three half periods of the elliptic curve, our result for the classical Lie algebras reduces to one of the Lax pairs without spectral parameter that were known previously. These Calogero-Moser systems are invariant under the Weyl group of the associated untwisted affine Lie algebra. For non-simply laced Lie algebras, we introduce new integrable systems, naturally associated with twisted affine Lie algebras, and construct their Lax operators with spectral parameter (except in the case of G₂).     

Gauge Transformation and Generalized Nonlocal Symmetries of the Korteweg-de Vries Equation

After extending the usual Lax pair of the Korteweg-de Vries (KdV) equation to a generalized form by using a gauge transformation, an adjoint Lax pair of the KdV equation is introduced. With the help of the spectral functions of the Lax pair and the adjoint Lax pair, a new nonlocal seed symmetry (which is gauge-invariant) is found and then a set of new infinitely many generalized nonlocal symmetries are obtained after establishing a general symmetry theory for an arbitrary nonlinear system.