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Current issue   Ukr. J. Phys. 2016, Vol. 61, N 2, p.95-97
doi:10.15407/ujpe61.02.0095    Paper

Kakushadze Z.1,2

1 Quantigicr Solutions LLC
(1127, High Ridge Road #135, Stanford, CT 06905)
2 Free University of Tbilisi, Business School & School of Physics
(240, David Agmashenebeli Alley, Tbilisi 0159, Georgia; e-mail: zura@quantigic.com)

Quantization Rules for Dynamical Systems

Section: Fields and Elementary Particles
Original Author's Text: English

Abstract: We discuss a manifestly covariant way of arriving at the quantization rules based on the causality, with no reference to Poisson or Peierls brackets of any kind.

Key words: quantization rules, Poisson brackets, Peierls brackets.

References:
1. R.E. Peierls, Proc. Roy. Soc. A 214, 143 (1952).   CrossRef
2. B.S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).
3. I.A. Batalin and G.S. Vilkovisky, J. Math. Phys. 26, 172 (1985).   CrossRef
4. B.S. DeWitt, The spacetime approach to quantum field theory, in: B.S. DeWitt and R. Stora (eds.) Relativity, Groups and Topology II. (North-Holland, Amsterdam, 1984), p. 381.
5. A.A. Sharapov, Int. J. Mod. Phys. A 29, 1450157 (2014).   CrossRef