势场中粒子行为的量子计算与模拟

从量子力学的基本原理出发,采用指数差分方法,利用Matlab,模拟了入射不同势场后的粒子密度分布情况.结果表明,改变势场分布及粒子入射方式,粒子密度分布会产生显著变化.该模拟适用面广,可应用于不同的物理问题.     

非对称势场中粒子运动的双波函数描述

应用双波函数理论,得到了一维Morse势中粒子运动状态的力学量的时间演化方程。     

自由电子在弱周期势场V(x)=εsinx中的能谱研究

利用微扰理论,研究一维区域运动的自由电子,在受到弱周期势场的作用,给出在这种周期势场中的一维电子能谱,并与自由电子的能谱作比较。     

变形谐振子势的能谱方程

讨论了3种变形谐振子势:左右两边不同参数的谐振子势、左边方形势加右边谐振子势和谐振子势中间加δ势中的能量本征态函数.这些函数都可以由厄米函数表示.由波函数及其一次导数在原点的衔接条件,得到了能谱方程.     

包含键环境修正的硅氢紧束缚势模型

在已有的硅势模型基础上,引进氢原子,计及Si-H键环境的影响,构造出新的硅氢紧束缚势模型.通过测试计算,这一新的硅氢势模型显示出较好的传递性,可适宜于研究复杂的硅氢体系. 关键词： 紧束缚势模型 半导体 缺陷     

紧束缚势和修正的嵌入原子势计算液态Sn双体相关函数差异

对500个Sn原子分别用两种模型(紧束缚势和修正的嵌入原子势)计算了400℃～1700℃温度范围内纯Sn的双体相关函数g(r).将计算结果与实验数据进行了对比分析,发现两种计算结果都能基本上反映液态Sn的结构及其随温度的变化情况:原子最近邻距离与实验结果相近;随着温度降低,双体相关函数第一峰变得尖锐,第二峰变得明朗.修正的嵌入原子势模型得到的双体相关函数的第一峰右侧有个突起的肩膀,这在实验结果中也被发现,而紧束缚势模型得到的双体分布函数肩膀不明显.     

紧束缚势和修正的嵌入原子势计算液态Sn双体相关函数差异

对500个Sn原子分别用两种模型（紧束缚势和修正的嵌入原子势）计算了400℃~1700℃温度范围内纯Sn的双体相关函数g（r）。将计算结果与实验数据进行了对比分析,发现两种计算结果都能基本上反映液态Sn的结构及其随温度的变化情况：原子最近邻距离与实验结果相近;随着温度降低,双体相关函数第一峰变得尖锐,第二峰变得明朗。修正的嵌入原子势模型得到的双体相关函数的第一峰右侧有个突起的肩膀,这在实验结果中也被发现,而紧束缚势模型得到的双体分布函数肩膀不明显。     

一类一维势场中电子态的研究

研究了在一维势场Ｖ_n＝λｃｏｓ（Ｑn＋ａｎ^ｖ）（０＜ｖ＜１）中运动的电子状态，计算了本征能量和本征态的局域化指数。对Ｑ＝２π／３，系统的能带由三个子能带构成。当λ小于２时，每个子带中有两个迁移率边界。研究了扩展态、局域态以及迁移率边界随参数λ，ν，α的变化。 关键词：     

铜氧化物超导体的零场ESR信号的可能机制

本文指出铜氧化物超导体的电子自旋共振(ESR)的零场信号可能是R.Englman等人讨论过的铜氧络合物的电子—声子耦合的简并态E和单态A之间的位形跃迁。     

Bound states of the Dirac equation with position-dependent mass for the Eckart potential

Studying with the asymptotic iteration method, we present approximate solutions of the Dirac equation for the Eckart potential in the case of position-dependent mass. The centrifugal term is approximated by an exponential form, and the relativistic energy spectrum and the normalized eigenfunctions are obtained explicitly.     

Mapping of the position-dependent mass Schroedinger equation under point canonical transformation

In this paper, the three-dimensional radial position-dependent mass Schroedinger equation is exactly solved through mapping this wave equation into the constant mass Schroedinger equation with Coulomb potential by means of point canonical transformation. The wavefunctions here can be given in terms of confluent hypergeometric functions.     

The bound state solution for the Morse potential with a localized mass profile

We investigate an analytical solution for the Schr o¨dinger equation with a position-dependent mass distribution, with the Morse potential via Laplace transformations. We considered a mass function localized around the equilibrium position.The mass distribution depends on the energy spectrum of the state and the intrinsic parameters of the Morse potential. An exact bound state solution is obtained in the presence of this mass distribution.     

Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields

We solve the Schr?dinger equation with a position-dependent mass(PDM) charged particle interacted via the superposition of the Morse-plus-Coulomb potentials and is under the influence of external magnetic and Aharonov–Bohm(AB) flux fields. The nonrelativistic bound state energies together with their wave functions are calculated for two spatially-dependent mass distribution functions. We also study the thermal quantities of such a system. Further, the canonical formalism is used to compute various thermodynamic variables for second choosing mass by using the Gibbs formalism. We give plots for energy states as a function of various physical parameters. The behavior of the internal energy, specific heat, and entropy as functions of temperature and mass density parameter in the inverse-square mass case for different values of magnetic field are shown.     

The decoherence of the triangular and Coulomb bound potential quantum dot qubit

We study the eigenenergies and eigenfunctions of the ground and first-excited states of an electron which is strongly coupled to an LO-phonon in a quantum dot with a triangular bound potential and Coulomb bound potential by using the Pekar variational method. This system may be used as a two-level qubit. Phonon spontaneous emission causes the decoherence of the qubit. Numerical calculations are performed on the decoherence rate as a function of the polar angle, the Coulomb binding parameter, the coupling strength, the confinement length of the quantum dot and the dispersion coefficient.     

声子和杂质对三角束缚势量子点量子比特性质的影响

本文以含有类氢杂质的三角束缚势量子点为基础,应用Pekar变分方法,电子与体纵光学声子强耦合的条件下得出了电子的基态和第一激发态的本征能量及基态和第一激发态的波函数,量子点中这样的二能级体系可作为一个量子比特.讨论了能量与库仑结合参数,耦合强度,受限长度以及极角的变化关系.     

Wave packet dynamics of nonlinear Gazeau–Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

AD = 1 position-dependent mass approach to constructing nonlinear quantum states for a modified Coulomb potential is used to generate Gazeau–Klauder coherent states. It appears that their energy eigenvalues are scaled down by the quantum number and the nonlinearity coefficient. We study the basic properties of these states, which are found to be undefined on the whole complex plane, and some details of their revival structure are discussed.     

\mathcal{P}\mathcal{T}-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach

To lowest order of perturbation theory we show that an equivalence can be established between a -symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian h. An important feature of h is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities.     

When null energy condition meets ADM mass

We give a conjecture on the lower bound of the ADM mass M by using the null energy condition. The conjecture includes a Penrose-like inequality $3M\geqslant \kappa { \mathcal A }/(4\pi )+\sqrt{{ \mathcal A }/4\pi }$ and the Penrose inequality $2M\geqslant \sqrt{{ \mathcal A }/4\pi }$ with ${ \mathcal A }$ the event horizon area and κ the surface gravity. Both the conjecture in the static spherically symmetric case and the Penrose inequality for a dynamical spacetime with spherical symmetry are proved by imposing the null energy condition. We then generalize the conjecture to a general dynamical spacetime. Our results raise a new challenge for the famous unsettled question in general relativity: in what general case can the null energy condition replace other energy conditions to ensure the Penrose inequality?