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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Poisson brackets and commutator brackets. I


Author: Reese T. Prosser
Journal: Proc. Amer. Math. Soc. 62 (1977), 305-309
MSC: Primary 81.58
MathSciNet review: 0443739
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Abstract: A previous result, that for certain problems in Hamiltonian mechanics the commutator bracket is determined by the Poisson bracket, is here extended to include certain problems in Hamiltonian field theory.


References [Enhancements On Off] (What's this?)

  • [1] R. T. Prosser, A new formulation of particle mechanics, Mem. Amer. Math. Soc. No. 61 (1967), 57 pp. MR 32 #8545. MR 0191136 (32:8545)
  • [2] -, A brief derivation of the Heisenberg commutation relations, Proc. Amer. Math. Soc. 26 (1970), 640-641. MR 44 #7853. MR 0290673 (44:7853)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0443739-1
PII: S 0002-9939(1977)0443739-1
Article copyright: © Copyright 1977 American Mathematical Society