
SIGMA 3 (2007), 057, 6 pages arXiv:0704.2679
https://doi.org/10.3842/SIGMA.2007.057
Contribution to the Vadim Kuznetsov Memorial Issue
On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source
N. Gurappa ^{a}, Pankaj K. Jha ^{b} and Prasanta K. Panigrahi ^{c}
^{a)} Saha Institute of Nuclear Physics, Bidhannagar, Kolkata 700 064, India
^{b)} Department of Physics, Texas A M University, TX 77843, USA
^{c)} Physical Research Laboratory, Navrangpura, Ahmedabad 380 009, India
Received November 01, 2006, in final form March
29, 2007; Published online April 20, 2007
Abstract
A general method for solving linear differential equations of
arbitrary order, is used to arrive at new representations for the
solutions of the known differential equations, both without and with a
source term. A new quasisolvable potential has also been constructed
taking recourse to the above method.
Key words:
Euler operator; monomials; quasiexactly solvable models.
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