Quantum and Classic Brackets
Kisil, Vladimir V.
arXiv, 0007030 / Harvested from arXiv
Text on arXiv
We describe an $p$-mechanical (see funct-an/9405002 and quant-ph/9610016) brackets which generate quantum (commutator) and classic (Poisson) brackets in corresponding representations of the Heisenberg group. We \emph{do not} use any kind of semiclassic approximation or limiting procedures for $\hbar \to 0$. Harmonic oscillator considered within the approach. Keywords: Classic and quantum mechanics, Hamilton and Heisenberg equations, Poisson brackets, commutator, Heisenberg group.
Publié le : 2000-07-25
Classification:  Mathematical Physics,  Mathematics - Functional Analysis,  Mathematics - Quantum Algebra,  Mathematics - Representation Theory,  Physics - Classical Physics,  Quantum Physics,  81R05,  81P05, 22E70, 43A65 
@article{0007030,
     author = {Kisil, Vladimir V.},
     title = {Quantum and Classic Brackets},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0007030}
}

Kisil, Vladimir V. Quantum and Classic Brackets. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0007030/