Poisson Brackets

Views Updated: Dec 15, 2025

Key Facts

Abbreviation
PB
Pronunciation
/ˈpɔɪzsən ˈbrækɪts/
Category
Academic & Science
Related Field
Mathematics

Examples in Context

  1. Based on the fact that the interval deformation energy depends only on the two end displacements vector, we derive the Lagrange and Poisson brackets analytically, the symplectic duality system, the canonical equations, and the canonical transformations, etc.
  2. Dirac connected the quantum mechanical commutators with the classical Poisson brackets, and established the transformation theory for non-relativistic quantum mechanics.
  3. With it the canonical equations in equilibrium thermodynamics, i.e. the basic Poisson's brackets can be proved.
  4. We express the first integrals for the system of Hamilton's canonical equations make use of Poisson's brackets, especially, prove Jacobi's identity briefly.
  5. The third order solution of vinti's problem and the poisson's brackets of elements

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