Non-equal-time Poisson brackets

Preprint English OPEN
Nikolic, H.;
  • Subject: Physics - Classical Physics | Mathematical Physics | High Energy Physics - Theory | Quantum Physics
    arxiv: Mathematics::Quantum Algebra | Mathematics::Symplectic Geometry | Nonlinear Sciences::Exactly Solvable and Integrable Systems

The standard definition of the Poisson brackets is generalized to the non-equal-time Poisson brackets. Their relationship to the equal-time Poisson brackets, as well as to the equal- and non-equal-time commutators, is discussed.
  • References (3)

    [1] See, for example, J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGrawHill, New York, 1965).

    [2] D. Marolf, private communication.

    [3] R. E. Peierls, “The commutation laws of relativistic field theory,” Proc. Roy. Soc. (London) 214 (A 1117), 143-157 (1952).

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