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本文是文献[1]和[2]联合的后继文章,在文中我们依据电磁学和电动力学中的麦克斯韦方程组建立了有质量光子导致导体中的超导现象这一事实的规范不变描写,文献[1]的结果是目前理论选取洛伦兹规范的特殊情形.我们发现在这种规范不变的理论中存在一个零质量的标量场,它可以和规范势的纵向分量相互转化.这正是文献[2]所介绍的2013年诺贝尔物理学奖中著名的希格斯机制,即规范粒子吃掉Goldstone玻色子而产生纵向分量,因而获得质量.这个新引进的零质量标量场对应量子场论中激发Goldstone玻色子的标量场,它可以被看成是一个更一般的两分量复标量场的相角分量.而此推广的复标量场的常数模分量可以被看成是另一个动力学场——希格斯场的真空期望值.希格斯场的激发是希格斯粒子,即所谓上帝的粒子;而光子的质量则起源于希格斯场的真空期望值. 相似文献
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本文导出了中心粒子轨迹具有“零进、零出”约束条件的变梯变倾斜场加速管工艺段的简化场型公式。 相似文献
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在赝自旋对称性条件下,分别求解了在M rse型和Tan2(πηr)型标量势与矢量势场中运动的相对论粒子的Klein-Gordon方程和Dirac方程,给出了它们的束缚态能谱和相对论性波函数. 相似文献
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用硬球模中性胶体粒子 ,数值求解双组分Ornstein Zernike积分方程 (当大的中性胶体粒子的浓度为零时 ) ,用来决定悬浮在溶剂 (用小的硬球模拟 )中两个胶粒之间的空耗势 .所预言的空耗势与文献的模拟数据和实验数据能很好地符合 .研究发现 ,基于空耗势的有效一组分Hansen Verlet一相相变标准完全不能预言双组分系统的液 固相变 .讨论了导致这种现象的原因 :Hansen Verlet一相相变标准不能自地处理有效一组分系统中固相与液相的体积能 相似文献
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结合Airy(艾里)函数对线性势场中微观粒子的运动规律进行了研究.在此基础上,结合边界条件、归一化关系求解了线性势场和V型势场内粒子的波函数和能级结构.根据相对速度伽利略变换,研究了含时薛定谔方程的解——可积分的波包在自由空间的动力学行为,求解出自由空间艾里波包的运动规律和量子力学中艾里波包的唯一性. 相似文献
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伪自旋对称情形下Rosen-Morse类型势场中相对论粒子的束缚态 总被引:1,自引:1,他引:0
在伪自旋对称情形下研究了Rosen-Morse类型势场中相对论粒子的束缚态,利用Nikiforov-Uvarov方法求解了伪自旋对称情形下的Klein-Gordon和Dirac方程,得到了相对论粒子被束缚在Rosen-Morse类型势场的精确束缚态解. 相似文献
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The relativistic problem of spinless particles with position-dependent mass subject to kink-like potentials (~tanh αx) is investigated. By using the basic concepts of the supersymmetric quantum mechanics formalism and the functional analysis method, we solve exactly the position-dependent effective mass Klein–Gordon equation with the vector and scalar kink-like potential coupling, and obtain the bound state solutions in the closed form. It is found that in the presence of position-dependent mass there exists the symmetry that the discrete positive energy spectra and negative energy spectra are symmetric about zero energy for the case of a mixed vector and scalar kink-like potential coupling, and in the presence of constant mass this symmetry only appears for the cases of a pure scalar kink-like potential coupling or massless particles. 相似文献
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A particle with position-dependent mass moving in a double well potential is investigated. An exact instanton solution is given and tunnelling effect caused by it is considered. We calculate the energy of the ground state of this model by introducing some effective mass and frequency of oscillator. 相似文献
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We investigate the Schrödinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the (nontrivial) position-dependent mass V(x)=0 case whose solutions are hypergeometric functions in tanh2x. Then, we consider an external hyperbolic-tangent potential. We show that the effective quantum mechanical problem is given by a Heun class equation and find analytically an eigenbasis for the space of solutions. We also compute the eigenstates for a potential of the form V(x)=V0 sinh2x. 相似文献
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CHEN Gang XUAN Pei-Cai CHEN Zi-Dong 《理论物理通讯》2006,46(1):39-42
In this paper, two novel semiclassical methods including the standard and supersymmetric WKB quantization conditions are suggested to discuss the Schroedinger equation with position-dependent effective mass. From a proper coordinate transformation, the formalism of the Schroedinger equation with position-dependent effective mass is mapped into isospectral one with constant mass and therefore for a given mass distribution and physical potential function the bound state energy spectrum can be determined easily by above method associated with a simple integral formula. It is shown that our method can give the analytical results for some exactly-solvable quantum systems. 相似文献
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Quantum matrix elements of the coordinate, momentum and the velocity operator for a spin-1/2 particle moving in a scalar-like
potential are calculated. In the large quantum number limit, these matrix elements give classical quantities for a relativistic
system with a position-dependent mass. Meanwhile, the Klein-Gordon equation for the spin-0 particle is discussed too. Though
the Heisenberg equations for both the spin-0 and spin-1/2 particles are unlike the classical equations of motion, they go
to the classical equations in the classical limit.
相似文献
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Approximate solutions of the Dirac equation with position-dependent mass are presented for the inversely quadratic Yukawa potential and Coulomb-like tensor interaction by using the asymptotic iteration method. The energy eigenvalues and the corresponding normalized eigenfunctions are obtained in the case of position-dependent mass and arbitrary spin-orbit quantum number k state and approximation on the spin-orbit coupling term. 相似文献
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高能粒子(沟道)传输时, 粒子质量与入射能量有关。 低能粒子(沟道)传输时, 粒子(静止)质量与入射能量无关。 与其说高低能量区别, 不如说质量观念区别; 因此两者研究是不同观念的研究。 沟道连续势阱的柱状对称性与碳纳米管结构的变化无关。 X射线(沟道)传输表现为两方面: 在波动性方面, 它遵守光学散射规律; 在粒子性方面, 它被沟道连续势阱束缚。 For high energy particle transmission, its mass depends on its incident energy. For low energy particle transmission, its (static) mass is independent of its incident energy. The difference between the mass ideas is rather than that between high and low energies. Thus, these two transmission studies are very different in ideas. The column symmetry of transverse continuum potential well is independent of the nanotube structure. X ray transmission consists of two aspects: as wave, it is scattered by the laws of ray optics; as particle, it is captured in the transverse continuum potential well. 相似文献
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JETP Letters - The effect of the particle position-dependent effective mass on the behavior of quasi-two-dimensional photon and exciton-polariton condensates in a parabolic trap in a semiconductor... 相似文献
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JU Guo-Xing XIANG Yang REN Zhong-Zhou 《理论物理通讯》2006,46(11)
The properties of the s-wave for a quasi-free particle with position-dependent mass (PDM) have been discussed in details. Differed from the system with constant mass in which the localization of the s-wave for the free quantum particle around the origin only occurs in two dimensions, the quasi-free particle with PDM can experience attractive forces in D dimensions except D=1 when its mass function satisfies some conditions. The effective mass of a particle varying with its position can induce effective interaction, which may be attractive in some cases. The analytical expressions of the eigenfunctions and the corresponding probability densities for the s-waves of the two- and three-dimensional systems with a special PDM are given, and the existences of localization around the origin for these systems are shown. 相似文献
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JU Guo-Xing XIANG Yang REN Zhong-Zhou 《理论物理通讯》2006,46(5):819-825
The properties of the 8-wave for a quasl-free partide with position-dependent mass (PDM) have been discussed in details. Differed from the system with constant mass in which the localization of the s-wave for the free quantum particle around the origin only occurs in two dimensions, the quasi-free particle with PDM can experience attractive forces in D dimensions except D = 1 when its mass function satisfies some conditions. The effective mass of a particle varying with its position can induce effective interaction, which may be attractive in some cases. The analytical expressions of the eigenfunctions and the corresponding probability densities for the 8-waves of the two- and three-dimensional systems with a special PDM are given, and the existences of localization around the origin for these systems are shown. 相似文献