Integrable operator representations of ℝ q 2 ,X q,γ andSL q (2, ℝ)

We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a q-deformation of the Gel'fand-Kirillov conjecture which we partially prove. We propose a construction of automorphisms of certain non-commutative rings of quotients coming from complex powers of quantum group generators; this is applied to explicit calculation of singular vectors in Verma modules over . We finally give a definition of aq-connection with coefficients in a ring of skew polynomials and study the structure of quantum group modules twisted by aq-connection.Supported by the Japan Society for the Promotion of Science Post-Doctoral Fellowship for Foreign Researchers in Japan.     

q畸变的KdV方程

本文由"量子"Virasoro代数出发,推导出了q畸变的KdV方程,当q→1时,就退化为通常的结果.     

q变形氢原子的能谱

用ＳＯ_q（４）量子代数得到ｑ变形三维氢原子的能谱及简并度，还讨论了二维ｑ变形氢原子的能谱和简并度。 关键词：     

夸克胶子物质内的qq-↑q→qq-↑q反应

夸克胶子物质内的从夸克-夸克-反夸克到夸克-夸克-反夸克的散射过程会影响夸克物质和反夸克物质的热平衡化，其散射振幅是研究热平衡化的一个基础．依据微扰QCD理论，编制Fortran程序，推导了αs^4阶的各个qq-↑q→qq-↑q散射费曼图的振幅平方和不同费曼图间的干涉项．     

沿极小势能轨迹从q〉1至q〈1位形演变

本文给出了沿极小势能轨迹从类托卡马克至反场箍缩(RFP)的演变。在反场箍缩条件下可允许用强等离子体电流充分加热等离子体到点火温度,而不需要辅助的中性束或射频加热系统。     

Comment on “Understanding the scalar meson q\bar{q} nonet”

It is shown that the incomplete scalar meson nonets found by T?rnqvist [1] and T?rnqvist & Roos [2], employing a new version of the Helsinki unitarised quark model, should in fact be complete, including an as yet unconfirmed light below 1 GeV (old ) and the established (1500). A detailed comparison is presented with the predictions of the Nijmegen unitarised meson model, in which two complete scalar nonets show up below 1.5 GeV [3]. The reason for the flavour-nonet breaking found in [1,2] we argue to originate in the use of coupling constants for the three-meson vertex which are not independent of flavour. Also some statements made in [1] are critically reviewed. Received: 17 February 1999 / Published online: 15 July 1999     

夸克胶子物质内的qq(q)→qq(q)反应

夸克胶子物质内的从夸克-夸克-反夸克到夸克-夸克-反夸克的散射过程会影响夸克物质和反夸克物质的热平衡化,其散射振幅是研究热平衡化的一个基础.依据微扰QCD理论,编制Fortran程序,推导了α4s阶的各个qq(q)→qq(q)散射费曼图的振幅平方和不同费曼图间的干涉项.     

重子中七夸克成分qqq(qˉq)2的低位能谱

在非相对论夸克模型内,利用手征超精细相互作用,把原来对五夸克系统qqqqˉq能谱的预言,扩展到了七夸克系统qqq(qˉq)2的基态和轨道第一激发态能谱的计算,所使用的参数也是来自于五夸克系统.预言了最低七夸克态的能量大约是2.1 GeV,自旋-宇称是JP=1也存在一些三夸克系统和五夸克系统,所以能量在2 GeV以上的重子激发态可能是这3种夸克成分的混合.+或者JP=1?.由于在这个能区22     

超低q位形实验研究

在ＳＷＩＰ－ＲＦＰ装置上，获得了０〈ｑａ〈０．１超低安全因子实验结果，结果表明，ｑ随小半径增加而减少。     

q变形叠加态及其特性

利用ｑ－振子代数提出了一种由ｑ变形振子的本征态（ｑ变形光子数态）叠回由成的态。给出了这种ｑ有叠加态的定义,研究了它们的量子统计性质。也讨论了这种态的压缩和ｑ压缩,并进一步研究了它们的寻常高阶压缩和ｑ高阶压缩。ｑ变形振子是一种非线性振子,通过这些讨论,推广通常的叠加态。     

带状方程组q叉树MIMD算法

利用行处理法贪心方法和分治策略给出一个基于分布式存储多指令流多数据流(multiple inslruction stream，multiple data stream．MIMD)一级q叉树树机模型求解任意带状方程组的并行迭代算法，证明算法对相容性带状方程组收敛并分析算法的通信复杂度。     

Fusion rules of U q(sl(2, ℂ)), q m = 1

The decomposition of multiple tensor products of finite-dimensional irreducible representations of U _q(sl(2, )), for q's which are roots of 1, is studied in detail.     

What if Ω ≠ 2q?

We discuss various possible scenarios where 2q, where stands for the density parameter andq for the deceleration parameter. We further estimate the corrections necessary when a variable cosmological constant is considered in the theory.     

One—Dimensional Potentials in q Space

We study one-dimensional potentials in q space and the new features that arise.In particular,we show that the probability of tunnelling of a particle through a barrier or potential step is less than that of the same particle with the same energy in ordinary space which is somehow unexpected.We also show that the tunnelling time for a particle in q space is less than that of the same particle in ordinary space.     

q变形转动振子模型(Ⅰ)——q振子与双原子分子振动谱

我们提出具有量子群对称性的q变形转动振子模型,并采用这一模型对一类微观系统的转动振动谱给出相当精确的描述。本文集中讨论q振子模型,指出,q振子代数的表示及相应的能级结构可以准确地描述双原子分子的红外振动谱、振动喇曼谱、电子跃迁振动谱及相应的选择定则。 关键词：     

经典q变形谐振子及其?量子化

通常所谓的量子包络代数可以在经典Poisson括号的意义下实现,以谐振子系统为例,给出U_q(SU(2))的这种经典实现,指出这种q变形伴随着相空间复坐标的Beltrami变形。并讨论了这种经典q变形谐振子系统的?量子化,得到在Lie括号意义下的U_q(SU(2))代数。 关键词：