Exact solution of the modified Pöschl-Teller potential in the tridiagonal representation

The Schrödinger equation with the modified Pöschl‐Teller (MPT) potential is studied by working in a complete square integrable basis that supports a tridiagonal matrix representation of the wave operator. The resulting three‐term recursion relation for the expansion coefficients of the wavefunction...

Full description

Saved in:
Bibliographic Details
Published in:International journal of quantum chemistry 2012-06, Vol.112 (12), p.2482-2485
Main Authors: Huang-Fu, Guo-Qing, Zhang, Min-Cang
Format: Article
Language:English
Subjects:
modified Pöschl-Teller potential
orthogonal polynomial
recursion relation
square integrable basis
tridiagonal matrix representation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Schrödinger equation with the modified Pöschl‐Teller (MPT) potential is studied by working in a complete square integrable basis that supports a tridiagonal matrix representation of the wave operator. The resulting three‐term recursion relation for the expansion coefficients of the wavefunction is presented, and the wavefunctions are expressed in terms of the Jocobi polynomial. The discrete spectrum of the bound states is obtained by diagonalization of the recursion relation. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011
ISSN:0020-7608
1097-461X
DOI:10.1002/qua.23276