Born series and unitarity in noncommutative quantum mechanics

2008/01/25 by Fábio S. Bemfica, F. S. Bemfica, H. O. Girotti
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #math-ph #math.MP

paper · pdf · doi:10.1103/physrevd.77.027704

published as Phys. Rev D 77, 027704 (2008) · 9 pages

openalex publication_date 2008/01/25 · arxiv created 2008/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is dedicated to present model independent results for noncommutative quantum mechanics. We determine sufficient conditions for the convergence of the Born series and, in the sequel, unitarity is proved in full generality.

Citations

• On the principles of elementary quantum mechanics
• Quantum mechanics as a statistical theory
• Noncommutative quantum mechanics