Parentesi di Dirac

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Le parentesi di Dirac sono una generalizzazione delle parentesi di Poisson sviluppate da Paul Dirac per trattare correttamente i sistemi con vincoli di seconda classe in meccanica hamiltoniana e per la seconda quantizzazione.

Si tratta di una parte importante dello sviluppo effettuato da Dirac della meccanica hamiltoniana e di una valutazione più generale delle lagrangiane. La forma più astratta delle due espressioni dalle parentesi di Dirac è la restrizione alla forma simplettica della superficie di vincolo dello spazio delle fasi[1].

La piena comprensione delle parentesi di Dirac presuppone una certa familiarità con i formalismi della meccanica lagrangiana ed hamiltoniana, e la loro connessione alla seconda quantizzazione.

Note

  1. ^ Henneaux and Teitelboim, Quantization of Gauge Systems, Princeton University Press, 1992, ISBN 0-691-08775-X, cap. 2, pp. 48-58.

Bibliografia

  • Herbert Goldstein, Meccanica Classica, Zanichelli, Bologna, 1971, ISBN 88-08-01282-4.
  • Antonio Fasano e Stefano Marmi, Meccanica Analitica, Bollati Boringhieri, Torino, 2002, ISBN 88-339-5681-4.
  • (EN) Paul A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science Monographs Series Number 2, 1964, ISBN 0-486-41713-1.
  • (EN) Henneaux, Marc and Teitelboim, Claudio, Quantization of Gauge Systems, Princeton University Press, 1992. ISBN 0-691-08775-X.
  • (EN) Weinberg, Steven, The Quantum Theory of Fields, Vol. 1, Cambridge University Press, 1995, ISBN 0-521-55001-7.
  • (EN) Herbert Goldstein, Charles Poole, John Safko, "Classical Mechanics", 3rd ed., Pearson Education/Addison Wesley, 2002, ISBN 0321-188977.

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