Smailagic, Anais; Spallucci, Euro Feynman path integral on the non-commutative plane. (English) Zbl 1042.81044 J. Phys. A, Math. Gen. 36, No. 33, L467-L471 (2003). Summary: We formulate the Feynman path integral on a non-commutative plane using coherent states. The propagator for a free particle exhibits UV cutoff induced by the parameter of non-commutativity. Cited in 54 Documents MSC: 81R60 Noncommutative geometry in quantum theory 81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry 81S40 Path integrals in quantum mechanics PDFBibTeX XMLCite \textit{A. Smailagic} and \textit{E. Spallucci}, J. Phys. A, Math. Gen. 36, No. 33, L467--L471 (2003; Zbl 1042.81044) Full Text: DOI arXiv