The 1/N Expansion in Noncommutative Quantum Mechanics
High Energy Physics - Theory
2015-03-17 v2 Quantum Physics
Abstract
We study the 1/N expansion in noncommutative quantum mechanics for the anharmonic and Coulombian potentials. The expansion for the anharmonic oscillator presented good convergence properties, but for the Coulombian potential, we found a divergent large N expansion when using the usual noncommutative generalization of the potential. We proposed a modified version of the noncommutative Coulombian potential which provides a well-behaved 1/N expansion.
Keywords
Cite
@article{arxiv.1005.2609,
title = {The 1/N Expansion in Noncommutative Quantum Mechanics},
author = {A. F. Ferrari and M. Gomes and C. A. Stechhahn},
journal= {arXiv preprint arXiv:1005.2609},
year = {2015}
}
Comments
v2: resided version, to appear in PRD, 18 pages, 4 figures