共查询到12条相似文献,搜索用时 5 毫秒
1.
Bound states of the Klein-Gordon and Dirac equations for scalar and vector harmonic oscillator potentials 下载免费PDF全文
We give the exact bound states of the Klein-Gordon and Dirac equations with equal scalar and vector harmonic oscillator potentials. 相似文献
2.
Bound states of Klein—Gordon equation for double ring-shaped oscillator scalar and vector potentials 总被引:1,自引:0,他引:1 下载免费PDF全文
In spherical polar coordinates, double ring-shaped oscillator potentials have supersymmetry and shape invariance for θ and r coordinates. Exact bound state solutions of Klein—Gordon equation with equal double ring-shaped oscillator scalar and vector potentials are obtained. The normalized angular wavefunction expressed in terms of Jacobi polynomials and the normalized radial wavefunction expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained. 相似文献
3.
Bound states of Klein-Gordon equation for ring-shaped harmonic oscillator scalar and vector potentials 下载免费PDF全文
Solving Klein-Gordon equation with equal ring-shaped harmonic oscillator scalar and vector potentials, we obtain the exact normalized bound-state wavefunction and energy equation. 相似文献
4.
The exact normalized bound state wavefunctions and energy equations of Klein-Gordon equation with equal scalar and vector ring-shaped Kratzer-type potential have been obtained. 相似文献
5.
The exact bound state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potential s(r)=v(r)=V(r)/2=V_0tanh^2(r/d). The relation between the energy equation and that of relativistic harmonic is discussed. 相似文献
6.
The exact normalized bound-state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potentials s(r)=v(r)=V(r)/2=(Ar-2-Br-1)/2. 相似文献
7.
Exact solutions of the Klein—Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform 下载免费PDF全文
Sami Ortakaya 《中国物理 B》2012,21(7):70303-070303
We present exact solutions for the Klein-Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angular functions are expressed in terms of the hypergeometric functions. The radial eigenfunctions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein-Gordon equation is reduced to a first-order differential equation. 相似文献
8.
Bound states of the Schrdinger equation for the Pschl-Teller double-ring-shaped Coulomb potential 下载免费PDF全文
Põschl--Teller double-ring-shaped Coulomb (PTDRSC) potential, the Coulomb potential surrounded by Põschl--Teller and double-ring-shaped inversed square potential, is put forward. In spherical polar coordinates, PTDRSC potential has supersymmetry and shape invariance in φ, θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrõdinger equation with PTDRSC potential are presented. The normalized φ, θ angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of Laguerre polynomials are presented. Energy spectrum equations are obtained. Wave function and energy spectrum equations of the system are related to three quantum numbers and parameters of PTDRSC potential. The solutions of wave functions and corresponding eigenvalues are only suitable for the PTDRSC potential. 相似文献
9.
In this paper, we have solved the Schrdinger equation for a particular kind of Morse potential and find its normalized eigenfunctions and eigenvalues, exactly. Our work is based on the Laplace transform technique which reduces the second-order differential equation to a first-order. 相似文献
10.
We inquire into spin and pseudospin symmetries of the Dirac equation under a Mbius square-type potential using the Nikiforov-Uvarov method to calculate the bound state solutions. We numerically discuss the problem and include various explanatory figures. 相似文献
11.
Exact solution of the one-dimensional Klein-Gordon equation with scalar and vector linear potentials in the presence of a minimal length 下载免费PDF全文
Using the momentum space representation, we solve the Klein-Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained. 相似文献
12.
Explicit and exact travelling plane wave solutions of the (2+1)—dimensional Boussinesq equation 总被引:1,自引:0,他引:1 下载免费PDF全文
The deformation mapping method is applied to solve a system of (2+1)-dimensional Boussinesq equations. Many types of explicit and exact travelling plane wave solutions, which contain solitary wave solutions,periodic wave solutions,Jacobian elliptic function solutions and others exact solutions, are obtained by a simple algebraic transformation relation between the (2+1)-dimensional Boussinesq equation and the cubic nonlinear Klein-Gordon equation. 相似文献