The 1/N Expansion in Noncommutative Quantum Mechanics
arXiv:1005.2609 · doi:10.1103/PhysRevD.82.045009
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.
v2: resided version, to appear in PRD, 18 pages, 4 figures
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