Relativistic Treatment of Spinless Particles Subject to a Tietz-Wei Oscillator

The bound state solutions of the relativistic Klein-Gordon equation with the Tietz-Wei diatomic molecular potential are presented for the s wave. It is shown that the solutions can be expressed by the generalized hypergeometric functions. The normalized wavefunctions are also derived.     

The Origin and Mathematical Characteristics of the Super-Universal Associated-Legendre Polynomials

We study the mathematical characteristics of the super-universal associated-Legendre polynomials arising from a kind of double ring-shaped potentials and obtain their polar angular wave functions with certain parity. We find that there exists the even or odd parity for the polar angular wave functions when the parameter η is taken to be positive integer, while there exist both even and odd parities when η is taken as positive non-integer real values. The relations among the super-universal associated-Legendre polynomials, the hypergeometric polynomials, and the Jacobi polynomials are also established.     

The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term

The approximately analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the mixed Manning-Rosen potentials are carried out by an improved new approximation to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Manning-Rosen potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states, reduce to the bound states of those at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and the special case for wave is studied briefly.      

海绵Hyatella.Sp中的两个甾体化合物

从中国南海湛江硇洲岛海绵Hyatella.Sp分离得到2种单体甾醇,经1H NMR、13CNMR、MS等现代光谱手段鉴定它们的结构分别为：3β-羟基胆甾-5,22-二烯-7-酮（1）和3β-羟基胆甾-5-烯-7酮（2）。     

Correlations of Spin States for Icosahedral Double Group

The irreducible bases of the icosahedral double groups I and I_h are explicitly presented in their respective group spaces. Applying these bases to the spin states |j, , we obtain a simple formula for combining the spin states into the symmetry-adapted bases which belong to a given row of given irreducible representations of I and I_h.     

基于不同纳米材料的侧流免疫层析技术在真菌毒素检测中的应用

真菌毒素毒性强,具有很强的致癌性和致畸性,对人体的危害巨大.近年来,其快速检测技术成为研究的热点,在“批量检测”的趋势下,侧流免疫层析技术以具有操作简便,经济合理,灵敏快速等优点,广泛应用于食品、饲料、农产品中真菌毒素的检测.本文对侧流免疫层析检测技术的研究概况及不同纳米材料的侧流免疫层析技术在真菌毒素检测中的应用和发展前景进行综述,以期为侧流免疫层析技术在真菌毒素检测的未来发展及应用提供参考.     

Irreducible Bases and Correlations of Spin States for Double Point Groups

In terms of the irreducible bases of the groupspace of the octahedral double group O ananalytic formula is obtained to combine the spin states|j, > into the symmetrical adapted basesbelonging to a given row of a given irreducible representationof O. This method is effective for alldouble point groups. However, for the subgroups ofO there is another way to obtain thosecombinations. As an example, the correlations of spin states for thetetrahedral double group T are calculatedexplicitly.     

Construction of the Barut–Girardello quasi coherent states for the Morse potential

The Morse oscillator (MO) potential occupies a privileged place among the anharmonic oscillator potentials due to its applications in quantum mechanics to diatomic or polyatomic molecules, spectroscopy and so on. For this potential some kinds of coherent states (especially of the Klauder–Perelomov and Gazeau–Klauder kinds) have been constructed previously. In this paper we construct the coherent states of the Barut–Girardello kind (BG-CSs) for the MO potential, which have received less attention in the scientific literature. We obtain these CSs and demonstrate that they fulfil all conditions required by the coherent state. The Mandel parameter for the pure BG-CSs and Husimi’s and P$P$-quasi distribution functions (for the mixed-thermal states) are also presented. Finally, we show that all obtained results for the BG-CSs of MO tend, in the harmonic limit, to the corresponding results for the coherent states of the one dimensional harmonic oscillator (CSs for the HO-1D).     

Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules

The energy spectrum of the Manning-Rosen potential including centrifugal term in higher dimensions is presented by exact quantization rule approach. The result is compared with that by proper quantization rule method. It is found that the latter is better than that of the exact quantization rule. We find that the interdimensional degeneracy exists for the states in different dimensions. For the special case D = 3, the results agree well with those obtained by other methods.