Born series and unitarity in noncommutative quantum mechanics
F. S. Bemfica, H. O. Girotti
TL;DR
This paper establishes model-independent conditions for the convergence of the Born series and proves unitarity in noncommutative quantum mechanics.
Contribution
It provides the first general proof of unitarity and convergence criteria for the Born series in noncommutative quantum mechanics.
Findings
Sufficient conditions for Born series convergence
Proof of unitarity in noncommutative quantum mechanics
General results independent of specific models
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.
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