We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Laplace transform approach to find the exact solution of the $$N$$ -dimensional Schrödinger equation with Mie-type potentials and construction of Ladder operators.
- Authors
Das, Tapas
- Abstract
The second order $$N$$ -dimensional Schrödinger equation with Mie-type potentials is reduced to a first order differential equation by using the Laplace transformation. Exact bound state solutions are obtained using convolution theorem. The Ladder operators are also constructed for the Mie-type potentials in $$N$$ -dimensions. Lie algebra associated with these operators are studied and it is found that they satisfy the commutation relations for the SU(1,1) group.
- Subjects
SCHRODINGER equation; POTENTIAL theory (Mathematics); LAPLACE transformation; BOUND states; LIE algebras; LADDER operators
- Publication
Journal of Mathematical Chemistry, 2015, Vol 53, Issue 2, p618
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-014-0444-8