共查询到20条相似文献,搜索用时 93 毫秒
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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. 相似文献
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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. 相似文献
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采用在点正则变换下形状不变势的映射方法 ,给出了将P schl TellerⅠ势映射至P schl TellerⅡ势的点正则变换 ,并从P schl TellerI势的束缚态能级和波函数求得了P schl TellerⅡ势的束缚态能级和波函数 相似文献
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类环型Hulthén势是Hulthén势外面再加上类环型平方反比势.用指数函数近似表示任意分波的离心项,运用函数分析法讨论类环型Hulthén势Schrdinger方程的束缚态解.归一化的角向波函数和径向波函数用超几何函数表示,给出了束缚态能谱,体系的波函数和束缚态能谱与类环型Hulthén势的势参数和三个量子数有关.Hulthén势、Hartmann势和Makarov势束缚态能谱是类环型Hulthén势的特例. 相似文献
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给出了具有Rosen-Morse型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 运用超对称量子力学和形不变性得到了束缚态能谱,通过变量代换求得波函数. 把上述方法推广到相对论量子力学.
关键词:
Rosen-Morse势
Klein-Gordon方程
Dirac方程
束缚态 相似文献
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利用在点正则变换下形状不变势的映射方法 ,找出了该问题需要的点正则变换 ,建立了双原子分子的广义Hulth啨n势和P schl TellerⅠ势之间的关系 ,并由P schl TellerⅠ势的束缚态能级和波函数 ,方便地求得了广义Hulth啨n势的束缚态能级和波函数 相似文献
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Kernel polynomial representation for imaginary-time Green's functions in continuous-time quantum Monte Carlo impurity solver 下载免费PDF全文
Inspired by the recently proposed Legendre orthogonal polynomial representation for imaginary-time Green s functions G(τ),we develop an alternate and superior representation for G(τ) and implement it in the hybridization expansion continuous-time quantum Monte Carlo impurity solver.This representation is based on the kernel polynomial method,which introduces some integral kernel functions to filter the numerical fluctuations caused by the explicit truncations of polynomial expansion series and can improve the computational precision significantly.As an illustration of the new representation,we re-examine the imaginary-time Green's functions of the single-band Hubbard model in the framework of dynamical mean-field theory.The calculated results suggest that with carefully chosen integral kernel functions,whether the system is metallic or insulating,the Gibbs oscillations found in the previous Legendre orthogonal polynomial representation have been vastly suppressed and remarkable corrections to the measured Green's functions have been obtained. 相似文献
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In the present work, we have studied electronic and optical properties of a lens-shaped quantum dot under an external magnetic field. For this goal, we have calculated the energy levels and wave functions using the finite element method (FEM) for different values of magnetic field. We have also studied effect of magnetic field on second harmonic generation (SHG) and third-harmonic generation (THG) in the lens-shaped quantum dot. In this regard, we have obtained an analytic expression for the SHG and THG by a compact density matrix approach and an iterative procedure. According to the obtained results, it is found that the presence of the magnetic field affects the symmetry of the system. The SHG and THG are decreased with increasing the magnetic field. The magnetic field has a great influence on the energy levels, wave functions, the SHG and THG in a lens shaped quantum dot. 相似文献
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In the present work, we have studied electronic and optical properties of a lens-shaped quantum dot under an external magnetic field. For this goal, we have calculated the energy levels and wave functions using the finite element method(FEM) for different values of magnetic field. We have also studied effect of magnetic field on second harmonic generation(SHG) and third-harmonic generation(THG) in the lens-shaped quantum dot. In this regard, we have obtained an analytic expression for the SHG and THG by a compact density matrix approach and an iterative procedure. According to the obtained results, it is found that the presence of the magnetic field affects the symmetry of the system. The SHG and THG are decreased with increasing the magnetic field. The magnetic field has a great influence on the energy levels, wave functions, the SHG and THG in a lens shaped quantum dot. 相似文献
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Summary We have tested the model developed within the EU ?European Wind Atlas? project under particularly critical conditions of thermal
non-neutrality, and with simulations at distances exceeding 100 km. For this purpose we have used six coastal stations of
the Adriatic Sea and one located 16 km off the coast of Venice. The performances and the limits of the model rise out by comparing
the experimental results with the simulations. Then we have estimated the probability density functions of the wind speed
in the Adriatic Sea for different heights above sea level, Finally, we have attempted an interpolation of these functions
along the Adriatic Sea, from Venice to Brindisi. 相似文献
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In this paper, we construct an intermediate distribution linking the Gaussian and the Cauchy distribution. We provide the probability density function and the corresponding characteristic function of the intermediate distribution. Because many kinds of distributions have no moment, we introduce weighted moments. Specifically, we consider weighted moments under two types of weighted functions: the cut-off function and the exponential function. Through these two types of weighted functions, we can obtain weighted moments for almost all distributions. We consider an application of the probability density function of the intermediate distribution on the spectral line broadening in laser theory. Moreover, we utilize the intermediate distribution to the problem of the stock market return in quantitative finance. 相似文献
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Using perturbative quantum chromodynamics, we compute dihadron fragmentation functions for a large invariant mass of the dihadron pair. The main focus is on the interference fragmentation function H(1)(?), which plays an important role in spin physics of the nucleon. Our calculation also reveals that H(1)(?) and the Collins fragmentation function have closely related underlying dynamics. By considering semi-inclusive deep-inelastic scattering, we further show that collinear factorization in terms of dihadron fragmentation functions and collinear factorization in terms of single-hadron fragmentation functions provide the same result in the region of intermediate invariant mass. 相似文献
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E. E. Vdovin Yu. N. Khanin A. V. Veretennikov A. Levin A. Patane Yu. V. Dubrovskii L. Eaves P. C. Main M. Henini G. Hill 《JETP Letters》2001,74(1):41-45
We present an experimental study of electron wave functions in InAs/GaAs self-assembled quantum dots by magnetotunneling spectroscopy. The electronic wave functions have a biaxial symmetry in the growth plane, with axes corresponding to the main crystallographic directions in the growth plane. Moreover, we observed the in-plane anisotropy of the subbands of the quantum well. 相似文献