The 1/N Expansion in Noncommutative Quantum Mechanics

Details The 1/N Expansion in Noncommutative Quantum Mechanics The 1/N Expansion in Noncommutative Quantum Mechanics

2010-05-14

arxiv.org/abs/1005.2609v2

Physics

High Energy Physics

High Energy Physics - Theory

v2: resided version, to appear in PRD, 18 pages, 4 figures

Scientific paper

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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