A General Approach for the Exact Solution of the Schrödinger Equation

The Schrödinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrödinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.     

能量自洽法的建立以及对异核双原子分子的应用

介绍了一种研究双原子分子势能函数的新方法 -能量自洽法的建立、它的物理思想、它的部分应用成果     

MM-4中电位和分布实验

本文描述了用静电探针测量探针悬浮电位的方法,给出了MM-4电位分布的实验结果。结果表明,轴向电位分布不对称;在等离子体中沿轴向和径向存在双离子位阱。在离子能谱测量中观察到双离子温度。产生这样电位分布的机制,归于会切系统中的斯托沫区和电子枪的不同工作方式。测量的等离子体电位为-200——300V。     

A New Type of Shape-Invariant Potential

It has been shown that Hulthen potental and isotonic harmonic oscillator potential are shape-invariant potentials with a translation of parameters, and isotonic harmonic oscillator potential and three-dimensional harmonic oscillator potential belong to a type of shape-invariant potentials.     

Absolute spectroscopic determination of cross-membrane potential

Spectroscopic determination of the cross-membrane electric potential has been used for more than 20 years. This method, which usually employs absorption or fluorescence measurements, allows for a rapid and noninvasive study of the electrical properties of the membranes of cells and liposomes. However, the usual fluorescence techniques preferably allow monitoring changes in the potential on triggerable or excitable membranes, and not the absolute value of the potential. They also do not provide means for measuring the potential on single cells. This paper reviews three methods that solve these issues. Nernstian dyes which partition between intra-and extracompartmental volumes enable a fluorescence microscopic determination of a single cell and even a single organelle. Dual-wavelength ratiometric recording from membrane-staining dyes also provides means for measuring the field on a single cell. Resonance Raman probes provide a spectroscopic method with a natural internal standard for the absolute measurement of membrane potential.     

An extended Lennard-Jones potential energy function for diatomic molecules: Application to ground electronic states

A new simple analytical diatomic potential energy function that can be considered an extension of the prototypical Lennard-Jones model is proposed and tested. Five- and six-parameter models are considered and these can be easily constructed from widely available low-order vibrational-rotational constants and the dissociation energy. Accuracy tests are carried out on the ground electronic states of sixteen diatomic molecules. The proposed six-parameter function is found to be more accurate than other available few-parameter analytical models for the diatomic potential energy, and has accuracy comparable to that of modern high-level ab initio functions.     

空间对称性与电磁角动量守恒

阐明空间对称性与守恒律，并结合电磁场中带电粒子的拉氏函数，巧妙简捷地处理了一个电磁系统的角动量守恒。     

Extraction of interatomic potentials from structure of liquids

The connection between interatomic potentials and structure functions of liquids is studied. The expressions for two- and three-body potentials are obtained. The contribution of three-body effects is found to be significant, reaching several per cent of the ground-state energy. Presented at the 2nd International Conference “Physics of Liquid Matter: Modern Problems” (September 2003, Kyiv, Ukraine)     

用发射探针降落法测量等离子体空间电位

介绍了一种用发射探针测量等离子体空间电位的方法——“降落法”,并利用这种方法测量了双共振腔ECR微波等离子体源的空间电位分布,从中得到该等离子体内部的一些电场信息。给出了不同微波功率和不同压强下Ar等离子体空间电位的分布情况。     

The true potential energy curves for different states of SiO and SiS molecules

The true potential energy curves forX ¹ Σ ⁺, a³ π _r,A ¹ π,e ³ Σ ⁻,E ¹ Σ ⁺,c ³ π _i states of astrophysically important molecule SiO, whose spectra were observed in the sunspots, have been constructed using the method of Lakshman and Rao. Dissociation energy and ionization potential have been estimated as 65,350 cm⁻¹ and 92,854 cm⁻¹ respectively and found to be in good agreement with the values cited in literature. The true potential energy curves forX ¹ Σ ⁺,D ¹ π andE ¹ Σ ⁺ states of SiS molecule have been constructed by the same method and its dissociation energy in the ground state has been estimated using Hulburt-Hirschfelder potential function as 54,765 cm⁻¹ in good agreement with 53,250.9 cm⁻¹ given by Herzberg.     

积与积减原理

文章分析了重力势能、引力势能、电荷势能、化学势能、热量势能、质量积、动量积等多种势能,发现它们均可表达为一种守恒广延量和对应的强度量的乘积,因此可将其统一定义为"积".基于积这一概念,文章得到了孤立系统内守恒广延量传递过程的积减原理,即孤立系统内进行的守恒广延量传递过程中系统的积总是减小的.进一步,文章还基于积的概念发展了孤立系统和封闭系统的势平衡判据,发现孤立系统达到势平衡状态时,系统的积达到最小值(最小积原理);当封闭系统达到势平衡状态时,系统的准自由积达到最小值(最小准自由积原理).上述结论应用于传热学中即可得到热量传递过程的(火积)减原理及相应的热平衡判据.与热力学中的核心概念熵相对应,由于物理量(火积)可以描述传热过程的不可逆性,作为传热过程的优化准则,度量系统的无序度,并给出系统的热平衡判据,因此(火积)是传热学中的核心概念. 关键词： 势能 积 积减原理 平衡判据     

一维量子力学典型模型的数值解研究

一维有限深势阱、双势阱,一维势垒和双势垒是量子力学中最基本的模型,我们在工科物理教学中,利用计算机数值计算处理此类问题,进行了有益地探索并取得较好的效果。     

无限势阱中负δ势的低能态

给出了无限势阱中负的δ势存在能量等于或小于零低能态的必要条件,并给出相应能态波函数的表示式和能级公式.     

中能重离子碰撞中的同位旋分馏过程

利用同位旋相关的量子分子动力学模型研究了中能重离子碰撞中同位旋分馏过程.研究结果表明自由粒子中质比与碎片中质比的比值即同位旋分馏强度灵敏地依赖于对称势,而对同位旋相关核子–核子碰撞截面的依赖很弱.同位旋分馏对对称势的灵敏主要来自于气相部分,而液相部分对对称势不够灵敏.气相部分灵敏地依赖于对称势是直接造成同位旋分馏强度对对称势灵敏的主要原因.同时还讨论了各种液相部分的取法,其结果表明不同取法对以上结论的影响不大.因此理论结果与实验数据可以直接比较从而提取对称势的知识.并对引发同位旋分馏的动力学的起因进行了分析和讨论.     

A GENERATION OF EXACTLY SOLVABLE ANHARMONIC SYMMETRIC OSCILLATORS

Using the ideas of supersymmetric quantum mechanics, we exactly solve a continuous family of anharmonic potentials, which are the supersymmetric partners of the linear harmonic oscillators. The family includes a series of potentials in which the excited-state energy is the same as that of the harmonic oscillators, but the ground-state energy can be any value lower than the excited states. The shape of the potential is variable, which includes the double-well and triple-well potentials. All the potentials obtained in this paper are free of singularities, and the supersymmetry of the solutions is unbroken.     

SF6在惰性气体中输运性质的理论研究

利用Tang-Toennies势模型(以下简称TT势),计算了(Ne、Ar、Kr、Xe)-SF6相互作用势,在此基础上得到了SF6在惰性气体中的扩散系数,粘滞系数和热传导系数,通过相互作用势与M3SV势比较及输运性质与实验值的比较,说明了TT势模型是一种简单、可靠的势模型。     

用点正则变换方法求解双原子分子的双曲型P?schl-Teller势的束缚态

采用在点正则变换下形状不变势的映射方法,给出了将Poschl-Teller Ⅰ势映射至Poschl-Teller Ⅱ势的点正则变换,并从Poschl-TellerI势的束缚态能级和波函数求得了Poschl-Teller Ⅱ势的束缚态能级和波函数.     

Thermodynamic study of fluid in terms of equation of state containing physical parameters

We introduce a simple condition for one mole fluid by considering the thermodynamics of molecules pointing towards the effective potential for the cluster.Efforts are made to estimate new physical parameter f in liquid state using the equation of state containing only two physical parameters such as the hard sphere diameter and binding energy.The temperature dependence of the structural properties and the thermodynamic behavior of the clusters are studied.Computations based on f predict the variation of numbers of particles at the contact point of the molecular cavity(radial distribution function).From the thermodynamic profile of the fluid,the model results are discussed in terms of the cavity due to the closed surface along with suitable energy.The present calculation is based upon the sample thermodynamic data for n-hexanol,such as the ultrasonic wave,density,volume expansion coefficient,and ratio of specific heat in the liquid state,and it is consistent with the thermodynamic relations containing physical parameters such as size and energy.Since the data is restricted to n-hexanol,we avoid giving the physical meaning of f,which is the key parameter studied in the present work.     

A Note on Unification of Translational Shape Invariant Potential and Scaling Shape Invariant Potential

This article puts forward a general shape invariant potential, which includes the translational shape invariant potential and scaling shape invariant potential as two particular cases, and derives the set of linear differential equations for obtaining general solutions of the generalized shape invariance condition.