A New Type of Seiberg-Witten Map and Its Application

摘要

Deformation quantization is a powerful tool to deal with systems in noncommutative space to get theirenergy spectra and corresponding Wigner functions,especially for the ease of both coordinates and momenta beingnoncommutative.In order to simplify solutions of the relevant *-genvalue equation,we introduce a new kind of SeibergWitten-like map to change the variables of the noncommutative phase space into ones of a commutative phase space,and demonstrate its role via an example of two-dimensional oscillator with both kinetic and elastic couplings in thenoncommutative phase space.