Finite Order Batalin-Fradkin-Tyutin Method for Chiral Bosons in Non-commutative Space

The recently improved finite order BFT Hamiltonian embedding method is applied to the two dimensional chiral bosons in non-commutative space. It is then systematically converted to a first class constraint model. Performing the momentum integrations, the corresponding fully gauge symmetry Lagrangian as well as its partition function in phase space are obtained.     

H12C14N分子v2垂直带的高温谱线强度及随温度的变化规律

采用乘积近似法计算了氰化氢分子H12C14N的总配分函数,其中转动配分函数考虑了离心扭曲修正,振动配分函数采用谐振子近似.利用计算所得配分函数和文献提供的实验振动跃迁矩平方及HermanWallis因子系数,计算了氰化氢分子H12C14Nv2垂直带,即0110-0000跃迁在常温和高温下的线强度,并与HITRAN数据库的数据进行了比较.结果显示,在296 K及温度高达3 000 K时,计算所得谱线强度与HI-TRAN数据库提供的结果均符合较好.表明对氰化氢分子H12C14N高温下的分子配分函数和线强度的计算是可靠的.进一步计算了0110-0000跃迁带在更高温度4 000和5 000 K的线强度及模拟光谱,并总结了该跃迁带中的谱线强度随温度的变化规律:对于转动量子数J≥32的跃迁谱线(包括P支、Q支和R支),当温度从296.K逐渐增加时,其线强度迅速增加,到1 000 K附近达到最大值,然后迅速减弱.对于转动量子数J<32的跃迁谱线(同样包括P支、Q支和R支),线强度在296 K时最大,然后随温度的升高迅速减弱.     

c=3, N=2 超共形场论的Z2 Orbifold-Prime模型

讨论了二维环面上中心荷c=3, N=2 的超共形场论. 特别给出该理论的配分函数. 进一步,为了产生新的模型,回顾了一般的orbifold方法. 然后构造了模不变的Z2 Orbifold-Prime模型.     

高温下CO分子的振转跃迁光谱

采用近似方法计算了CO分子的总配分函数;利用该分子的偶极矩函数和在Morse近似下的波函数,计算了分子的振转跃迁矩阵元及在常温和高温下的吸收系数。计算结果表明,在常温(296 K)和高温下(3 000 K),计算结果与HITRAN数据库和文献值符合的很好,表明对分子总配分函数和振转跃迁矩阵元的计算是可靠的。并首次计算了CO分子在更高温度(4 000和6 000 K)下的吸收系数。     

High Temperature Spectrum for v3 Band of Carbon Dioxide

The total internal partition sums （TIPS） are calculated at the temperature up to 6000 K for 12 C16 02. Using the calculated partition functions, we produce the line intensities of v3 band of 12C1602 at several high temperatures. The results show that the calculated line intensities are in very good agreement with those of HITRAN database at the temperature up to 3000 K, which provides a strong support for the calculations of TIPS and line intensities at high temperature. Then the calculation is extended to further high temperature, and the simulated spectra of u3 band of 12C1602 at 5000 and 6000 K are reported.     

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以统计热力学和化学平衡理论为基础,引用原子、分子的光谱数据,计算了在温度300～20000K范围内,双原子分子体系的热平衡等离子体的热力学函数(H、Cp,m)。给出了氮等离子体体系的分子离解度、电离度和摩尔定压热容随温度变化的关系曲线。所得结果在较低温度范围与经验公式表达的结果良好相符。对较高温度区间的结果作了分析和讨论,并利用最小二乘法给出了氮体系的摩尔热容量的拟合公式。为热等离子体的应用提供了可以参考的数据。     

Drinfeld twist and the domain wall partition function of the eight-vertex model

With the help of the F-basis provided by the Drinfeld twist or factorising F-matrix for the spatial optical soliton model associated with the eight-vertex model, we calculate the partition function for the eight-vertex model on an N × N square lattice with domain wall boundary condition.     

Calculation of Partition Function of QCD at Finite Chemical Potential

In equilibrium statistical field theory, the partition function has fundamental importance. In this paper we propose a direct and general method for calculating the partition function and equation of state of QCD at finite chemical potential. It is found that the partition function is totally determined by the dressed quark propagator at finite chemical potential up to a multiplicative constant. From this a criterion for the phase transition between the Nambu and the Wigner phases is obtained. This general method is applied to two specific cases： the free quark theory and QCD with a model dressed quark propagator having confinement features. In the first case, the standard Fermi distribution at T = 0 is reproduced. In the second case, we apply the conclusion in previous works to obtain the dressed quark propagator at finite chemical potential and find the unphysical result that the baryon number density vanishes for all values of chemical potential. The reason for this result is discussed.     

NO+离子系统热力学性质的理论研究

基于课题组前期获得的研究双原子分子某电子态完全势能函数改进后的Hulburt-Hirschfelder (improved Hulburt-Hirschfelder,IHH)势能模型,结合实验测量得到的光谱常数和Rydberg-Klein-Rees (RKR)光谱数据,对NO⁺离子基态包含离解区在内的全程势能曲线进行研究.利用获得的完全势能曲线数值求解一维薛定谔方程,得到了体系包含高激发态在内的振转能级,并以此为基础计算获得体系总的内部配分函数,最后借助量子统计系综理论计算NO⁺离子系统在100—6000 K温度内的摩尔热容、摩尔熵、摩尔焓和约化摩尔吉布斯自由能.对NO⁺离子系统的研究结果表明,IHH势模型同样也适用于离子系统,计算的势能曲线与实验数据吻合良好,其精度优于HH势和MRCI/aug-cc-pV6Z势,且预测的热力学性质较HH势模型更接近实验值.本文提出的研究方法为通过双原子离子微观信息获取系统宏观热力学性质提供了一条新的有效途径.     

子的配分函数——物理意义与作用

讨论怎样理解子的配分函数的物理意义,以及它和系统的配分函数在计算热力学函数中的作用,指出它既不是系统的广延性质,也不是系统的强度性质,只是联系系统热力学函数与微观信息的纽带。