理想费米气体在n维势阱中的空间分布与有效囚禁范围（英文）

在Thomas-Fermi半经典近似适用条件下,求得了理想费米气体在n维广义幂律势阱中的态密度,进而研究了粒子数密度的空间分布,内能,热容量的空间变化以及等效化学势的一级近似.定义了绝对零度下的特征长度,求出了理想费米气体在n维广义幂律势阱中的有效囚禁范围.利用两个例子,揭示了理想费米气体的有效囚禁范围与外势形式,粒子数,粒子质量以及势场圆频率的依赖关系.     

Fermi气体在势阱中的最大囚禁范围与状态方程

在Thomas-Fermi近似条件下,研究了n维广义幂律势阱中Fermi原子气体的最大囚禁范围,给出了n维势阱中气体的实际囚禁体积,导出了状态方程.结果表明,最大囚禁范围和囚禁气体压强不仅与势阱性质有关,也与自由理想Fermi系统的化学势有关.对三维球对称简谐势阱进行了应用,表明在Thomas-Fermi近似有效的前提下,当系统满足条件((kT)/(hω))² ((16π²g)/ 关键词： Fermi气体 n维势阱')" href="#">n维势阱 最大囚禁范围 状态方程     

m维氢原子径向矩阵元的通项计算公式

给出了n维氢原子的归一化径向波函数,推导出了n维氢原子的任意径向矩阵元〈NJ|rq|N′J′〉的通项计算公式。     

n维氢原子的散射态

研究了n维氢原子的散射态性质．给出了精确的按“k/2π标度”归一化的散射态的精确解波函数及相移表达式，讨论了相移的解析性质，获得了束缚-连续跃迁矩阵元的解析计算公式．普通氢原子(n=3)散射态的有关结果作为特例包含在本文的一般结论之中． 关键词： n维氢原子 散射态 精确解 相移 束缚-连续跃迁矩阵元     

n维体系的性质

讨论了n维空间能谱ε=ap’的麦克斯韦速度分布律和n维情况固体热容量以及n维情况斯特藩一玻尔兹曼定律,并得出结论：麦克斯韦速度分布律、n维情况固体热容量及n维情况斯特藩-玻尔兹曼定律都与维度及态密度有关．     

任意维固体的热力学性质的研究

精确地计算了n维固体的热力学函数、热容,讨论了极端高、低温近似时的结果;并将不同维数的热力学性质统一地由一组公式表达了出来.     

气体吸附法测定二氧化硅干凝胶的分形维数

提出了一种方便、科学有效的利用气体吸附法测定二氧化硅干凝胶等多孔材料分形维数（表面分形维数和孔分布分形维数）的方法，不需要进行一系列的吸附/脱附实验，只需要利用单一气体的一次吸附/脱附实验得出的样品孔分布、比表面数据，与不同的标尺进行关联，即可同时获得表面分形维数和孔分布分形维数.通过误差分析和校正，保证了结果的可靠性.用上述方法测定了二氧化硅干凝胶的分形维数，以FHH法和SAXS法对所得结果进行了比较和验证，并对吸附/脱附过程所得结果的差异进行了初步分析. 关键词： 分形维数 气体吸附 二氧化硅 干凝胶     

n维相对论粒子的量子态密度及其应用

利用半经典近似的方法,推导出了n维相对论自由粒子量子态密度以及黑体辐射中两类粒子的辐射公式的统一表达式,并且给出了低维情况下的表达式,所得结果与三维空间的预期结果一致.这对于深化低维体系的教学与研究具有重要的意义.     

n维氢原子径向矩阵元的递推关系

给出了n维氢原子径向幂次矩阵元的递推关系,通常的三维氢原子的有关结果作为特例包含在本文的一般结论之中。     

具有n维氢原子型标量势与矢量势的Klein-Gordon方程的束缚态

研究了具有n维氢原子型标量势和矢量势的Klein-Gordon方程的束缚态性质，获得了束 缚态的精确解-给出了精确的能谱方程和归一化的解析波函数，推导出径向平均值的两个递 推关系和部分低幂次径向平均值的解析表达式- 关键词： n维氢原子势 Klein-Gordon方程 束缚态 精确解     

Bound entangled states invariant under Ux

This paper obtains an entangled condition for isotropic-like states by using an atomic map. It constructs a class of bound entangled states from the entangled condition and shows that the partial transposition of the state from the constructed bound entangled class is an edge bound entangled state by using range criterion.     

Preparation of Multi-Atom Entangled States with a Single Cavity in a Thermal State

A scheme is suggested for the generation of multi-atom maximally entangled states with a cavity in a thermalstate. In this scheme several appropriately prepared two-level atoms are simultaneously sent through the nonresonantcavity. We divide the whole atom-cavity interaction time into two equal parts. At the end of the first part a π pulse isapplied to the atoms using a classical field. Then the photon-number-dependent shifts on the atomic states are cancelledand the atomic system finally evolves to a maximally entangled state.     

Oddball Y（4140） as the molecular cousin of Y（3930）

In my talk,we present the dynamical study of Y（4140） and Y（3930） under the D＊s D＊s and D＊ D＊ molecular assignments respectively.The importance to theoretically and experimentally study their open-charm decay,hidden-charm decay,radiative decay and double-photon decay is proposed combing with the theoretical calculation of the decay behavior of Y（4140） and Y（3930）.According to the recent new experimental progress made by Belle,we further indicate the reasonability of molecular explanation to Y（4140）.Another event cluster around 4270 MeV in the J/ψφ invariant mass spectrum of B → KJ/ψφ can provide us more hints to reveal the creation mechanism of molecular structure in B meson decay,which will be helpful to clarify the underlying structure of Y（4140） and Y（3930）.     

能量公设与热力学系统独立状态参量的选取

论述了能量公设,并得到能量状态的一般表达式由各种能位形式组成,每一种能位形式可表示为一个强度量和一个广延量的乘积．由此,提出了热力学系统独立状态参量的数目由能位数目来决定,并且每一个独立状态参量只能是组成同一能位的强度量ξi和广延量ξi中的一个．     

Preparation of multicomponent motional coherent and squeezed coherent states of a trapped ion

In this paper, we present a scheme for preparation of multicomponent motional coherent and squeezed coherent states of the quantized centre of mass of an ion trapped in a one-dimensional harmonic potential and driven by two travelling-wave laser beams tuned to the nth red and blue vibrational sidebands, respectively. In addition, our scheme also provides experimental possibility for quantum state engineering.     

On the non-classicality features of new classes of nonlinear coherent states

In this paper, using an exponential function of intensity of radiation field, two new classes of nonlinear coherent states will be constructed. For the first class, we choose the nonlinearity function as f_β(n) = exp(βn), where β characterizes the strength of the nonlinearity of the quantum system. We show that, the corresponding β-states possess a collection of non-classicality features, only for the particular values of β and z. But, interestingly there exists finite (threshold) values of β, for which all of the non-classicality signs will disappear, in appropriate regions around the origin of the complex plane (z < |Z|). It is then illustrated that, using this threshold (or greater) value of β, the corresponding β-states behave very similar to canonical coherent states, as the most classical quantum states, in approximately whole of the space. In the continuation, we motivate to find another class of nonlinear coherent states, limited to a unit disk centered at the origin, looking like the canonical coherent states in behavior, in exactly the whole range of |z| < 1. This purpose also will be achieved by considering the nonlinearity function as , where λ is a tunable nonlinearity parameter. The canonical coherent state's aspects of the corresponding λ-states will be refreshed, in particular cases, working with a threshold (or greater) value of λ.     

f-Deformed Squeezed Vacuum and First Excited States,Their Superposition and Corresponding Nonclassical Properties

In this paper, we introduce two new classes of nonlinear squeezed states that we name as f-deformed squeezed vacuum state|ξ, f even and f-deformed squeezed first excited state |ξ, f odd, which according to their production processes, essentially include only even and odd bases of Fock space, respectively. In the continuation, we introduce the superposition of these two distinct nonlinear squeezed states with a respective phase ?. Then, some of the criteria which imply the nonclassicality of the states, such as Mandel parameter, second-order correlation function, quadrature squeezing, amplitude-squared squeezing, Husimi and Wigner–Weyl quasi-distribution functions, are numerically examined. At last, by considering a well-known nonlinearity function associated with a nonlinear physical system, we present our results which outcome from the numerical calculations. It is shown that, the introduced f-deformed states can reveal high nonclassical features.     

Oddball Y(4140)as the molecular cousin of Y(3930)

In my talk,we present the dynamical study of Y(4140)and Y(3930)under the D*s(D)*s and D*(D)*molecular assignments respectively.The importance to theoretically and experimentally study their open-charm decay,hidden-charm decay,radiative decay and double-photon decay is proposed combing with the theoretical calculation of the decay behavior of Y(4140)and Y(3930).According to the recent new experimental progress made by Belle,we further indicate the reasonability of molecular explanation to Y(4140).Another event cluster around 4270 MeV in the J/ψφ invariant mass spectrum of B → KJ/ψφ can provide us more hints to reveal the creation mechanism of molecular structure in B meson decay,which will be helpful to clarify the underlying structure of Y(4140)and Y(3930).     

多夸克态研究简述

介绍了多夸克态的研究现状. 主要介绍了四夸克态、五夸克态和双重子态的理论研究. 并列举了实验上观察到的可能是多夸克态的粒子或共振态.     

Computation of high-order virial coefficients in high-dimensional hard-sphere fluids by Mayer sampling

The Mayer sampling method was used to compute the virial coefficients of high-dimensional hard-sphere fluids. The first 64 virial coefficients for dimensions 12 < D ? 100 were obtained to high precision, and several lower dimensional virial coefficients were computed. The radii of convergence of the virial series in 13, 15, 17 and 19 dimensions agreed well with the analytical results from the Percus–Yevick closure.