Exact bound-state solutions of the cut-off Coulomb potential inN-dimensional space

Pramana ◽  
1992 ◽  
Vol 39 (5) ◽  
pp. 493-499 ◽  
Author(s):  
R N Chaudhuri ◽  
M Mondal
Keyword(s):  
Coulomb Potential ◽  
Dimensional Space ◽  
Bound State ◽  
Exact Bound

Exact Solutions of the N-dimensional Radial Schrödinger Equation with the Coulomb Potential via the Laplace Tranform

2004 ◽  
Vol 59 (11) ◽  
pp. 875-876 ◽  
Author(s):  
Gang Chen
Keyword(s):  
Differential Equation ◽  
Schrödinger Equation ◽  
Coulomb Potential ◽  
Schrodinger Equation ◽  
Bound State ◽  
Factorization Approach ◽  
Exact Bound ◽  
Radial Schrödinger Equation ◽  
The Laplace Transform ◽  
03.65 Ge

The second-order N-dimensional Schrödinger differential equation with the Coulomb potential is reduced to a firstorder differential equation by means of the Laplace transform and the exact bound state solutions are obtained. It is shown that this method solving the Schrödinger equation may serve as a substitute for the factorization approach also in lower dimensions. - PACS numbers: 03.65.Ge.

scholarly journals EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC–KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH

2012 ◽  
Vol 27 (30) ◽  
pp. 1250171 ◽  
Author(s):  
ALTUĞ ARDA ◽  
RAMAZAN SEVER
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Laplace Transform ◽  
Coulomb Potential ◽  
Spin Symmetry ◽  
Bound State ◽  
Exact Bound ◽  
Tensor Potential ◽  
The Laplace Transform ◽  
Parameter Values

Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different parameter values.

scholarly journals Bound state of solution of Dirac-Coulomb problem with spatially dependent mass

Open Physics ◽  
2014 ◽  
Vol 12 (4) ◽  
Author(s):  
Eser Olğar ◽  
Hayder Dhahir ◽  
Haydar Mutaf
Keyword(s):  
Dirac Equation ◽  
Coulomb Potential ◽  
Mass Function ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Bound State Solution ◽  
Function Generator ◽  
Dependent Mass ◽  
And Function ◽  
Position Dependent Mass

AbstractThe bound state solution of Coulomb Potential in the Dirac equation is calculated for a position dependent mass function M(r) within the framework of the asymptotic iteration method (AIM). The eigenfunctions are derived in terms of hypergeometric function and function generator equations of AIM.

EXACT SOLUTIONS OF DIRAC EQUATION FOR A NEW SPHERICALLY ASYMMETRICAL SINGULAR OSCILLATOR

2010 ◽  
Vol 25 (33) ◽  
pp. 2849-2857 ◽  
Author(s):  
GUO-HUA SUN ◽  
SHI-HAI DONG
Keyword(s):  
Dirac Equation ◽  
Vector Potential ◽  
State Energy ◽  
Energy Levels ◽  
Scalar Potential ◽  
Bound State ◽  
Wave Functions ◽  
Bound State Energy ◽  
Exact Bound ◽  
Spinor Wave

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

Sign in / Sign up

Export Citation Format

Share Document