| Issue |
Europhys. Lett.
Volume 72, Number 6, December 2005
|
|
|---|---|---|
| Page(s) | 873 - 879 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10324-7 | |
| Published online | 09 November 2005 | |
A quantum-classical bracket from p-mechanics
School of Mathematics, University of Leeds - Leeds LS2 9JT, UK
Received:
24
June
2005
Accepted:
14
October
2005
We provide an answer to the long-standing problem of mixing quantum
and classical dynamics within a single formalism. The construction
is based on 
-mechanical derivation of quantum and classical
dynamics from the representation theory of the Heisenberg group. To
achieve a quantum-classical mixing we take the product of two copies
of the Heisenberg group which represent two
different Planck's constants. In comparison with earlier guesses our
answer contains an extra term of analytical nature, which was not
obtained before in purely algebraic setup.
PACS: 03.65.Sq – Semiclassical theories and applications / 03.65.Db – Functional analytical methods / 03.65.Fd – Algebraic methods
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.