Born series and unitarity in noncommutative quantum mechanics

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.

9 pages

References in corpus (5)

• Non-Commutative Quantum Mechanics
• Comments on the Hydrogen Atom Spectrum in the Noncommutative Space
• Noncommutative Quantum Mechanics: The Two-Dimensional Central Field
• Noncommutative Quantum Field Theories
• The noncommutative degenerate electron gas

Cited by in corpus (8)

• A comparative review of four formulations of noncommutative quantum mechanics
• Position-dependent noncommutativity in quantum mechanics
• Noncommutativity due to spin
• Dynamical noncommutativity
• Free-fall in a uniform gravitational field in non-commutative quantum mechanics
• Noncommutative quantum mechanics as a gauge theory
• On the quantum dynamics of non-commutative systems
• Noncommutative quantum mechanics: uniqueness of the functional description