Energy spectra of three‐dimensional harmonium under Debye potential obtained using the shifted 1/N expansion approach

In this work, the problem of harmonium was investigated using the method of the shifted 1/N expansion. The energy eigenvalues and the classical equilibrium interelectron distance were calculated for ground and few first excited states under Debye potential as a function of both the Debye screening length and the harmonic confinement strength. It was found that harmonium becomes a Wigner molecule at the strong‐correlation limit in which the two electrons oscillate about the classical equilibrium interelectron distance r₀ . The results show reasonable agreement with the previous results both quantitatively and qualitatively.     

非简谐振动对纳米金刚石表面性质的影响

借助米-里纳德-金斯势研究了纳米金刚石的Debye温度、表面能、表面压强、晶格参量随原子数和形状的变化规律, 探讨了非简谐振动和形状对其表面性质的影响.结果表明: 1)纳米金刚石的Debye温度和表面能随原子数的增多而增大, 其中杆状的Debye温度和表面能要小于立方形的值; 2)纳米金刚石的表面压强和低温时的晶格参量相对变化量随原子数N 的增多而减小,其中杆状的值要比立方形的值要大; 3)原子数较少时,非简谐振动效应和形状对纳米晶的Debye温度、表面能、 表面压强、晶格参量的影响显著.     

Solution of the Energy Level of Hydrogen-Like Atom for the Debye Shielding Potential

The first-order revision and the approximation analytical formula of the energy levels for hydrogen-likeatoms under the condition of Debye shielding potential are achieved by means of the Rayleigh-Schrodinger perturbationtheory; meanwhile, the corresponding recurrence relations are obtained from the use of the solution of power series. Basedon the above solutions and with the use of energy consistent method the equivalent value of second-order reversion underthe condition of Debye shielding potential is produced as well and the result is compared with the data obtained by thenumerical method. Besides, the critical bond-state and corresponding cut-off conditions are discussed.     

Time-dependent perturbation calculations for transition properties of two-electron atoms under Debye plasma

Systematic investigation have been performed for the dynamic polarizabilities, energy levels, oscillator strengths and transition probabilities for the first few members of helium isoelectronic series He, Li⁺,Be²⁺,B³⁺ and C⁴⁺ embedded in the Debye plasma. The effect of plasma is described by introducing an exponential screening (the Debye screening) to the nuclear Coulomb potential. Systematic trend is observed for all the properties under study with respect to increased screening. The ionization potential decreases with an increased screening and the number of bound excited states supported by the Debye screened potential is finite.     

Debye屏蔽自洽势下Au50+离子的能级与振子强度

以惯性约束聚变实验中感兴趣的金的类铜离子(Au⁵⁰⁺)为例，讨论了等离子体中自由电子对复杂原子中电子行为的影响.采用受Debye屏蔽的Hartree-Fock-Slater自洽势，计算了Au⁵⁰⁺离子的主量子数n从1到7的28个本征态，得到了对应于一系列Debye长度Λ的能量本征值E_nl，即轨道束缚能，和能级之间的光学振子强度.与类氢情况相似：自由电子的屏蔽作用使所有能级均从无屏蔽时的位置向连续态移动，即电离限下移；对于每个能量本征态(n, 关键词：     

金属线膨胀系数、德拜温度和杨氏模量之间关联特性

利用解析势能函数研究了FCC,HCP及BCC共19种金属的线膨胀系数、德拜温度和杨氏模量等之间的关联性,给出了金属的德拜温度和杨氏模量的解析计算式,其理论计算值与实验值符合较好.     

J/ψ Dissociation in Hot and Dense Matter

The energy spectra of heavy quark bound states are analyzed using the error-function-type potential and the one-gluon-exchange Coulomb-type force. The Debye screening mass at finite temperature and density is studied in the thermofield dynamics approach. The critical temperature and cridcal energy density for J/ψ dissociation in hot and dense matter are obtained.     

在热密物质中的J/Ψ分解

用误差函数形式的禁闭位加上库仑形式的单胶子位研究了（ｃｃ）和（ｂｂ）质量谱，并用热场动力学近似研究了在有限温度和有限密度下的Ｄｅｂｙｅ屏蔽质量，得到在热密物质中Ｊ／Ψ分解的临界温度和临界能量密度．     

Electronic structure and elastic properties of scandium carbide and yttrium carbide: A first principles study

We have studied the electronic, structural, and elastic properties of scandium carbide and yttrium carbide by means of accurate first principles total energy calculations using the full-potential linearized plane wave method (FP-LAPW). We have used the generalized gradient approximation (GGA) for the exchange and correlation potential. Volume optimization, energy band structure, and density of states (DOS) of the systems are presented. The second order elastic constants have been calculated and other related quantities such as the Zener anisotropy factor, Poisson's ratio, Young's modulus, Kleinman parameter, Debye temperature, and sound velocities have been determined. The band gap calculation shows that YC is relatively more ionic than ScC.     

常压下固态KNO2热力学性质的密度泛函理论研究

采用密度泛函理论结合准谐德拜模型研究常压下300~725 K间KNO₂立方结构的热力学性质,重点分析常压下定压热容、定容热容、熵、德拜温度、体膨胀系数、平衡体积和体弹模量随温度的变化.结果显示,常压下计算的定压热容随温度的变化与实验数据符合较好,而计算的熵与实验数据相差较大.计算得到KNO₂的平均体膨胀系数约为1.837 8×10^-5K^-1,常温下(300 K)KNO₂的德拜温度约为667.13K.     

Behaviour of a dust cloud in the plasma sheath adjacent to a conducting wall

The location of a dust cloud under the combined influence of the sheath electric and gravity forces is studied. It is found that a charged dust cloud, which is located at a distance of several electron Debye radius from the wall, greatly affects the potential profile of the sheath electric field and of the potential well. The present theoretical results are in good agreement with experimental observations.     

Ab initio calculation of elastic properties of rock-salt and zinc-blend MgS under pressure

The elastic properties of zinc-blend (ZB) and rock-salt (RS) MgS are calculated by ab initio method. The calculation shows that the enthalpy for RS structure and for ZB structure essentially is the same at ambient pressure. The ZB structure becomes unstable above 5 GPa. For these two structures, the pressure dependences of typical elastic properties, i.e. the bulk modulus, the shear modulus, the Young's modulus, the Poisson's ratio, and the anisotropy factor, are presented. The Debye temperature and sound velocity under high pressure have also been calculated. Debye approximation is used to estimate the zero-point vibrational energy.     

Analytical prediction of the non-linear response of a self-excited structure

The time-dependent amplitude response of the self-excited harmonium reed vibrating at finite amplitudes is investigated both analytically and experimentally. The analysis contained herein is based on the assumption that all of the significant non-linear forces that act on the reed are of aerodynamic origin and that these forces influence the reed behavior through the system damping. The analysis is carried out, without the aid of empirical techniques, by deriving the induced aerodynamic pressure force as a non-linear function of the amplitude of the reed motion, via an unsteady potential flow field analysis, and then applying the resulting forcing function to the equation of motion of the reed. An approximate solution of the equivalent lumped parameter equation of motion yields functional relationships that predict various observable phenomena, including the limit cycle amplitude. A comparison of the results with experimental data serves to substantiate the analysis. Also presented is a brief discussion of some of the phenomenological similarities that exist between the results of the harmonium reed analysis and the observed behavior of a flat-plate wing undergoing torsional stall flutter.     

Effects of temperature and pressure on thermodynamic properties of Cd0.25Zn0.75 alloy

Thermodynamic properties of Cd_0.25Zn_0.75Se alloy are studied using quasi harmonic model for pressure range of 0 GPa-10 GPa and temperature range 0 K-1000 K. The structural optimization is obtained by self-consistent field calculations and full-potential linearized muffin-tin orbital method with GGA+U as an exchange correlation functional where U=2.3427 eV is Hubbard potential. The effects of temperature and pressure on bulk modulus, Helmholtz free energy, internal energy, entropy, Debye temperature, Grüneisen parameter, thermal expansion coefficient, and heat capacities of the material are observed and discussed. The bulk modulus, Helmholtz free energy, and Debye temperature are found to be decreased on increasing temperature while there is an increasing behavior with rise of the pressure. Whereas the internal energy has increasing trend with the rise in temperature and it almost remains insensitive to pressure. The entropy of the system increases (decreases) with rise of pressure (temperature).     

Quark Bomding Potential and Debye Screening Length

The binding and dissolution for the cc and bb bound states are studied by using different quark binding potentials in a nonrelativistic approximation. We calculate the critical value of the screening length by considering the Debye screening effect. The critical value r_D^c of the Debye screening length is highly sensitive to the form of the quark binding potential. We also estimate the critical temperature T_c of medium. The influence of the form of the quark binding potentials on dissolution for cc and bb bound states is discussed and compared to the previous results.     

德拜势中类氢原子能级近似解析式与幂级数求解

对德拜势(Debye)中类氢原子的能级问题采用Rayleigh-Schrdinger微扰展开,给出了能级的一阶修正与原子能级的近似解析式.同时,采用波函数幂级数解法,求得了德拜势下相关的递推关系.在此基础上,利用能量自洽法,求出了相当于二阶修正的德拜势下类氢原子的能级值,并就其计算结果与数值解进行了比较.同时,讨论了相应的临界束缚能态与截断条件.     

Electronic and thermal properties of B2-type AlRE intermetallic compounds: A first principles study

The ground state electronic structure and thermal properties of B₂-type intermetallic compounds AlRE (RE: Pm, Sm, Eu, Tb, Gd and Dy) have been studied using a self-consistent tight-binding linear muffin-tin orbital (TB-LMTO) method at ambient as well as at high pressure. These compounds show metallic behavior under ambient condition. The band structure, total energy, density of states and ground state properties like lattice parameter, bulk modulus are calculated in the present work. The Debye-Grüneisen model is used to calculate the Debye temperature and the Grüneisen constant. The calculated results are in good agreement with the reported experimental and other theoretical results. The variation in the Debye temperature with pressure has also been reported. We present a detailed analysis of the role of f electrons of RE in the AlRE system.     

Density of vibrational states of a hyperquenched glass

The vibrational density of states of a hyperquenched and an annealed glass has been measured using nuclear inelastic scattering. The hyperquenched sample shows a higher number of vibrational states in the low-energy region with respect to the annealed glass. It reveals, however, lower density and sound velocity and, therefore, smaller Debye energy. After rescaling the energy axes in Debye energy units and area renormalization, the density of states of both samples becomes identical. Thus, the effect of quenching is described by the transformation of the continuous medium.     

Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series

The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh Schrodinger perturbation theory and the power series;meanwhile,the corresponding recurrence relations are got with the use of the solution of power series. Basic on mentioned above and with the use of energy consistent method, the equivalent value of second-order revision in condition of the Debye shielding potential as well be got and the result is compared with the data obtained by the numerical method. Beside, the critical bond-state and corresponding cut off of conditions are discussed.     

Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series

The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh Schrdinger perturbation theory and the power series;meanwhile,the corresponding recurrence relations are got with the use of the solution of power series.Basic on mentioned above and with the use of energy consistent method,the equivalent value of second-order revision in condition of the Debye shielding potential as well be got and the result is compared with the data obtained by the numerical method.Beside,the critical bond-state and corresponding cut off of conditions are discussed.