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arXiv · 1005.2609

The 1/N Expansion in Noncommutative Quantum Mechanics

A. F. Ferrari·M. Gomes·C. A. Stechhahn
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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.

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A. F. Ferrari, M. Gomes, C. A. Stechhahn. 2010-08-09. The 1/N Expansion in Noncommutative Quantum Mechanics. https://doi.org/10.1103/physrevd.82.045009

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