Solving Single and Many-body Quantum Problems: A Novel Approach
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A unified approach, for solving a wide class of single and many-body quantum problems, commonly encountered in literature is developed based on a recently proposed method for finding solutions of linear differential equations. Apart from dealing with exactly and quasi-exactly solvable problems, the present approach makes transparent various properties of the familiar orthogonal polynomials and also the construction of their respective ladder operators. We illustrate the procedure for finding the approximate eigenvalues and eigenfunctions of non-exactly solvable problems.
Keywords
Cite
@article{arxiv.quant-ph/0204130,
title = {Solving Single and Many-body Quantum Problems: A Novel Approach},
author = {N. Gurappa and Prasanta K. Panigrahi and R. Atre and T. Shreecharan},
journal= {arXiv preprint arXiv:quant-ph/0204130},
year = {2007}
}
Comments
14 pages including a table, 12pt article style