Feynman path integral on the non-commutative plane. (English) Zbl 1042.81044

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.


81R60 Noncommutative geometry in quantum theory
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
81S40 Path integrals in quantum mechanics
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