Superintegrability, Deformation Quantization, and Nambu Brackets

Thomas Curtright (curtright@physics.miami.edu )
University of Miami
Department of Physics
James L. Knight Physics Building
1320 Campo Sano Drive
Coral Gables, FL 33146 USA

Abstract
Phase Space is an ideal framework for quantizing superintegrable systems through the use of deformation methods, as exemplified by chiral and de Sitter particles. In this framework, Nambu Brackets elegantly incorporate the extra quantum invariants of such systems.