On the noncommutative geometry in quantum mechanics
Ilyas Haouam
Abstract
slys roum vortoire de hysique wth emtique et de hysique utomique @vwAD niversit e pr eres wentouriD gonstntineD elgeri @eeived PH heemer PHIWY in (nl form IP wrh PHPHY epted HU epril PHPHY pulished online HQ wy PHPHA sn this pperD we presented nd reviewed formlism tht plys entrl role in most of the investiE gtions onerning nonommuttive geometryF e presented existing methods tht suessfully llow us to utilize nd pply the nonommuttivity of phseEspe in oth quntum mehnis nd quntum (eld theoryF sn prtiulrD we rie)y explined the eyl quntiztionD the woyl!eyl produtD the foppEshift trnsformtionsD nd the eierg!itten mpsF
Topics & Concepts
Noncommutative geometryQuantum differential calculusGeometryPhysicsClassical mechanicsNoncommutative algebraic geometryNoncommutative quantum field theoryQuantum mechanicsMathematicsTheoretical physicsMathematical physicsNoncommutative and Quantum Gravity TheoriesAdvanced Operator Algebra ResearchBlack Holes and Theoretical Physics