Algebraic and geometric aspects of generalized quantum dynamics

Abstract

\noindent We briefly discuss some algebraic and geometric aspects of the generalized Poisson bracket and non--commutative phase space for generalized quantum dynamics, which are analogous to properties of the classical Poisson bracket and ordinary symplectic structure.

10pages,revtex, IASSNSHEP-93/52

References in corpus (2)

• Generalized quantum dynamics
• Proof of Jacobi identity in generalized quantum dynamics

Cited by in corpus (9)

• n-ary algebras: a review with applications
• Effects of Squark Processes on the Axino CDM Abundance
• Generalized Quantum Dynamics as Pre-Quantum Mechanics
• Quaternionic differential operators
• Microcanonical Ensemble and Algebra of Conserved Generators for Generalized Quantum Dynamics
• Poincaré Supersymmetry Representations Over Trace Class Noncommutative Graded Operator Algebras
• Corrections to the Emergent Canonical Commutation Relations Arising in the Statistical Mechanics of Matrix Models
• The Matrix Model for M Theory as an Exemplar of Trace (or Generalized Quantum) Dynamics
• Equilibrium Statistical Ensembles and Structure of the Entropy Functional in Generalized Quantum Dynamics