共查询到20条相似文献,搜索用时 0 毫秒
1.
给出了具有一维Wood-Saxon型标量势大于或等于其矢量势时的Dirac方程的s波束缚态解.
关键词:
Wood-Saxon势
Dirac方程
束缚态
精确解 相似文献
2.
Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method 下载免费PDF全文
The Dirac equation for Eckart potential and trigonometric Manning Rosen potential with exact spin symmetry is obtained using an asymptotic iteration method. The combination of the two potentials is substituted into the Dirac equation,then the variables are separated into radial and angular parts. The Dirac equation is solved by using an asymptotic iteration method that can reduce the second order differential equation into a differential equation with substitution variables of hypergeometry type. The relativistic energy is calculated using Matlab 2011. This study is limited to the case of spin symmetry. With the asymptotic iteration method, the energy spectra of the relativistic equations and equations of orbital quantum number l can be obtained, where both are interrelated between quantum numbers. The energy spectrum is also numerically solved using the Matlab software, where the increase in the radial quantum number nr causes the energy to decrease. The radial part and the angular part of the wave function are defined as hypergeometry functions and visualized with Matlab 2011. The results show that the disturbance of a combination of the Eckart potential and trigonometric Manning Rosen potential can change the radial part and the angular part of the wave function. 相似文献
3.
The approximate analytical solutions of the Schrodinger equation for the Eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, ξ= λ=1, and β=0, are investigated. 相似文献
4.
In this Letter, the Dirac equation is exactly solved for spatially-dependent mass Coulomb potential including a Coulomb-like tensor potential under pseudospin symmetry limit by using asymptotic iteration method with arbitrary spin-orbit coupling number κ. The energy eigenvalues and corresponding eigenfunctions are obtained and some numerical results are given. 相似文献
5.
给出了具有Kratzer型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 相似文献
6.
7.
Bound state solutions of d-dimensional Schrdinger equation with Eckart potential plus modified deformed Hylleraas potential 下载免费PDF全文
We study the d-dimensional Schrdinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method.We obtain energy eigenvalues and the corresponding wave function expressed in terms of a Jacobi polynomial.We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen-Morse potential in three dimensions.Numerical results are also computed for the energy spectrum and the potentials. 相似文献
8.
9.
L.B. Castro 《Physics letters. A》2011,375(25):2510-2512
The relativistic problem of fermions subject to a PT-symmetric potential in the presence of position-dependent mass is reinvestigated. The influence of the PT-symmetric potential in the continuity equation and in the orthonormalization condition are analyzed. In addition, a misconception diffused in the literature on the interaction of neutral fermions is clarified. 相似文献
10.
陈刚 《原子与分子物理学报》2001,18(4):470-472
在标量型和矢量型Morse势相等的条件下,给出了Dirac方程束缚态的一维二分量波函数和一维四分量波函数的精确解.并且在求精确解时,运用一种新的自变量变换方法,使方程求解变得比较简单. 相似文献
11.
Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential 下载免费PDF全文
We study the d-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of Jacobi polynomial. We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen-Morse potential in three dimensions. Numerical results are also computed for the energy spectrum and the potentials. 相似文献
12.
在赝自旋对称性势场中运动的相对论粒子的束缚态 总被引:1,自引:1,他引:0
在赝自旋对称性条件下,分别求解了在Kratzer型、Hulthén型和Poschl-Teller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
13.
Bound states resulting from interaction of the non-relativistic particles with the multiparameter potential 下载免费PDF全文
In this study, we present the analytical solutions of bound states for the Schrodinger equation with the multiparameter potential containing the different types of physical potentials via the asymptotic iteration method by applying the Pekeristype approximation to the centrifugal potential. For any n and l(states) quantum numbers, we derive the relation that gives the energy eigenvalues for the bound states numerically and the corresponding normalized eigenfunctions. We also plot some graphics in order to investigate effects of the multiparameter potential parameters on the energy eigenvalues.Furthermore, we compare our results with the ones obtained in previous works and it is seen that our numerical results are in good agreement with the literature. 相似文献
14.
Mapping of the position-dependent mass Schroedinger equation under point canonical transformation 下载免费PDF全文
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. 相似文献
15.
The approximate analytical solutions of the Schrdinger equation for the Eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, ξ = λ = 1, and β = 0, are investigated. 相似文献
16.
Bound state solutions of the Dirac equation with the Deng–Fan potential including a Coulomb tensor interaction 下载免费PDF全文
Approximate analytical solutions of the Dirac equation in the case of pseudospin and spin symmetry limits are inves- tigated under the Deng-Fan potential by applying the asymptotic iteration method for the arbitrary quantum numbers n and ~~. Some of the numerical results are also represented in both pseudospin symmetry and spin symmetry limits. 相似文献
17.
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
18.
The approximate analytical solutions of the Dirac equation with the Poeschl-Teller potential is presented for arbitrary spin-orbit quantum number κ within the framework of the spin symmetry concept. The energy eigenvalues and the corresponding two Dirac spinors are obtained approximately in closed forms. The limiting cases of the energy eigenvalues and the two Dirac spinors are briefly discussed. 相似文献
19.
20.
本文中讨论了用Eckart势求解玻尔哈密顿量的新方法.在γ不稳定和γ≈0的两种情况下,对于离心项l/β~2用近似表达的条件下,分别求解了玻尔哈密顿量的解析解,且通过N-U方法,利用Eckart势成功的获得了玻尔哈密顿量解析解的表达式. 相似文献