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hep-thAug 27, 1993
14
citations (OpenAlex)
authors
  • S. L. Adler
  • G. V. Bhanot
  • J. D. Weckel
institutions
  • Institute for Advanced Study
  • Princeton University
arXiv abstractPDF
paper

Proof of Jacobi identity in generalized quantum dynamics

arXiv:hep-th/9308136 · doi:10.1063/1.530651

Abstract

We prove that the Jacobi identity for the generalized Poisson bracket is satisfied in the generalization of Heisenberg picture quantum mechanics recently proposed by one of us (SLA). The identity holds for any combination of fermionic and bosonic fields, and requires no assumptions about their mutual commutativity.

9 pages, plain tex file, IASSNS-HEP-93/46

References in corpus (1)

  • Generalized quantum dynamics

Cited by in corpus (10)

  • Generalized quantum dynamics
  • Generalized Quantum Dynamics as Pre-Quantum Mechanics
  • Trace dynamics and a noncommutative special relativity
  • Algebraic and geometric aspects of generalized quantum dynamics
  • 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
  • A Strategy for a Vanishing Cosmological Constant in the Presence of Scale Invariance Breaking
  • 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
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