Published March 1998 | Version v1
Journal article

Exact solution of nonrelativistic Schrodinger equation for certain central physical potential

  • 1. Kaiserslautern, Univ. (Germany). Fachbereich Physik
  • 2. Gorakhpur, Univ. (India). Dep. of Physics

Description

It is obtained here a class/classes of exact solution of the nonrelativistic Schrodinger equation for certain central potentials of physical interest by using proper ansatz/ansatze. The explicit expressions of energy eigenvalue and eigenfunction are obtained for each solution. These solutions are valid when for, in general, each solutions an interrelation between the parameters of the potential and the orbital-angular-momentum quantum number l is satisfied. These solutions, besides having an aesthetic appeal, can be used as benchmark to test the accuracy of nonperturbative methods, which sometimes yield wrong results, of solving the Schrodinger equation. The exact solution for the following central potentials, which are relevant in different areas of physics, have been obtained: 1) V(r)=ar6 + br4 + cr2; 2) V(r)=ar2 + br + c/r; 3) V(r)=r2 + λr2/(1+gr2); 4) V(r)= a/r + b/(r+λ); 5a) V(r)=a/r + b/r2+c/r3+d/r4; 5)b V(r)=a/r2 + b/r2 + c/r4 + d/r6; 6a) V(r)=a/r1/2 + b/r3/2; 6b) V(r)=ar2/3 + br-2/3 + cr-4/3

Additional details

Publishing Information

Journal Title
Nuovo Cimento. B
Journal Volume
113B
Journal Issue
3
Journal Page Range
p. 299-328
ISSN
0369-3554
CODEN
NCIBAW

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
29055583
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Quality check status
Yes
Descriptors DEI
ANALYTICAL SOLUTION; MATHEMATICS; MECHANICS; QUANTUM MECHANICS; SCHROEDINGER EQUATION;
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS;