Exact analytical approach to differential equations with variable coefficients
Classical Analysis and ODEs
2015-05-26 v1 Mathematical Physics
math.MP
Abstract
This paper shows how to build a formal analytical solution for a differential equation of arbitrary order and with variable coefficients. It proofs that the most known approximated solutions for such a problem can be derived from the analytical expression presented in the paper. The formalism can be easily extended to the infinite dimensional case such as the quantum time-dependent Hamiltonian problem.
Cite
@article{arxiv.1505.06509,
title = {Exact analytical approach to differential equations with variable coefficients},
author = {Mauro Bologna},
journal= {arXiv preprint arXiv:1505.06509},
year = {2015}
}
Comments
16 pages, 4 figures