Premium
Exact solution of the modified Pöschl–Teller potential in the tridiagonal representation
Author(s) -
HuangFu GuoQing,
Zhang MinCang
Publication year - 2011
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.23276
Subject(s) - tridiagonal matrix , representation (politics) , computational chemistry , mathematics , statistical physics , chemistry , physics , quantum mechanics , law , eigenvalues and eigenvectors , politics , political science
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