1/Nexpansion in noncommutative quantum mechanics

2010/05/31 by A. F. Ferrari, M. Gomes, C. A. Stechhahn
Mathematics · Physics and Astronomy · #Algorithm #Anharmonicity #Black Holes and Theoretical Physics #Convergence (economics) #Generalization #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevd.82.045009

published as Phys.Rev.D82:045009,2010 · v2: resided version, to appear in PRD, 18 pages, 4 figures

arxiv created 2010/08/09 · openalex publication_date 2010/08/09 · arxiv updated 2015/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

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