共查询到18条相似文献,搜索用时 250 毫秒
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一维δ势阱中的相对论粒子 总被引:1,自引:0,他引:1
求解一维相对粒子的Dirac方程。对一维δ势阱,计算了束缚态能级与波函数;对一维双δ势阱,给出了束缚态能级所满足的超越方程,并确定了束缚态的数目,简单讨论了散射问题。 相似文献
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介绍了用α0迭代方法求一维有限深方势阱的解析近似解,给出了解的通式和可求任意精度要求解的α0循环迭代计算程序流程。在新的基础上建立有限深方势阱的能级和波函数与无限深方势阱的能级和波函数的联系。 相似文献
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利用傅里叶变换方法求解有限个δ势阱一维原子链的薛定谔方程,得到了这些原子链的能级公式.本文所用方法也为微材料能级结构的研究提供了一个有价值的理论参考. 相似文献
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双原子分子非谐振转波函数和能级 总被引:7,自引:3,他引:4
余春日 《原子与分子物理学报》2005,22(2):276-280
从双原子分子简谐势近似波函数出发,运用微扰理论计算出了双原子分子在非谐振转相互作用下的一级、二级近似能级和一级近似波函数. 相似文献
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M. van den Broek F. M. Peeters 《Physica E: Low-dimensional Systems and Nanostructures》2001,11(4):241
The energy spectrum and corresponding wave functions of a flat quantum dot with elliptic symmetry are obtained exactly. A detailed study is made of the effect of ellipticity on the energy levels and the corresponding wave functions. The analytical behavior of the energy levels in certain limiting cases is obtained. 相似文献
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He-LiH体系束缚态能级的理论计算 总被引:1,自引:0,他引:1
在CCSD(T) 势能面的基础上,采用严格的量子力学方法计算得到了He-LiH体系束缚态振转能级和波函数,结果表明该体系存在10个振转束缚态.从波函数的分布图中可以知道,与J=0的第一个能级对应的本征态是靠近Li端较深势阱的一个束缚态;第二个能级为伸展激发振动能级;基本上存在于深势阱内,但H端的浅势阱通过隧道效应,对该能级的几率分布产生了影响. 相似文献
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In this work, we are going to introduce a new composite nanostructure (metal-dielectric) based on GaN to manage optical and electrical properties. For doing and evaluation of these properties, first, we evaluated and calculated the wave functions and energy levels of the introduced structure by solving the Schrodinger equation analytically. Then using wave function nonlinear optical properties such as third order susceptibility are studied. We observed that with control of nanoparticle parameters different behavior is obtained. For example with increase of the well width, third order susceptibility is decreased too but with more increasing the well width we observed increasing the nonlinear susceptibility. This effect depends on different displacement of ground and first excited stated energy levels and consequently wave functions due to changing of defect radius. Also, we show that the third order susceptibility in this case is very larger than bulk cases. Finally it should mention that the reported results are for wavelengths larger than 30 μm. 相似文献
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In this work we study the quantum system with the symmetric Konwent potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun function. The eigenvalues have to be calculated numerically because series expansion method does not work due to the variable z ≥ 1. The properties of the wave functions depending on the potential parameter A are illustrated for given potential parameters V_0 and a. The wave functions are shrunk towards the origin with the increasing |A|. In particular, the amplitude of wave function of the second excited state moves towards the origin when the positive parameter A decreases. We notice that the energy levels ε_i increase with the increasing potential parameter |A| ≥ 1, but the variation of the energy levels becomes complicated for |A| ∈(0, 1), which possesses a double well. It is seen that the energy levels ε_i increase with |A| for the parameter interval A ∈(-1, 0), while they decrease with |A| for the parameter interval A ∈(0, 1). 相似文献
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Using the Nikiforov–Uvarov (NU) method, the energy levels and the wave functions of an electron confined in a two-dimensional (2D) pseudoharmonic quantum dot are calculated under the influence of temperature and an external magnetic field inside dot and Aharonov–Bohm (AB) field inside a pseudodot. The exact solutions for energy eigenvalues and wave functions are computed as functions of the chemical potential parameters, applied magnetic field strength, AB flux field, magnetic quantum number and temperature. Analytical expression for the light interband absorption coefficient and absorption threshold frequency are found as functions of applied magnetic field and geometrical size of quantum pseudodot. The temperature dependence energy levels for GaAs semiconductor are also calculated. 相似文献
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An approximation method, namely, the Extended Wronskian
Determinant Approach, is suggested to study the one-dimensional
Dirac equation. An integral equation, which can be solved by
iterative procedure to find the wave functions, is established. We
employ this approach to study the one-dimensional Dirac equation
with one-well potential, and give the energy levels and wave
functions up to the first order iterative approximation. For
double-well potential, the energy levels up to the first order
approximation are given. 相似文献