No More Than Mechanics. I
| dc.creator | Kisil, Vladimir V. | |
| dc.date | 1994-05-02 | |
| dc.date | 2004-02-05 | |
| dc.date.accessioned | 2026-07-07T08:59:15Z | |
| dc.date.available | 2026-07-07T08:59:15Z | |
| dc.description | One can introduce so-called {\em Plain Mechanics} having an {\bf operator realization}. Then the set of one-dimension representations of this operator realization may be identified with the Classical Mechanics. Different irreducible infinite-dimension representations may be recognized as Quantum Mechanics for different $\hbar$ (the Planck constant). It can be done in the such manner that the following diagram will be commutative. Plain Mechanics / \ / \ / \ Quantum Mechanics --> Classical Mechanics h->0 Here the horizontal arrow is well known correspondence between Quantum and Classical Mechanics if Planck constant tensing to zero. A {\em realization} of this scheme for a particle in $n$-dimensional space by two-sided convolutions on the Heisenberg group is constructed. We also introduce the {\em motion equations} for observables in this realization. The left arrow of the given diagram carries this equation to the Heisenberg one and the right arrow maps it to the Hamilton equation. | |
| dc.description | 15 pages, LaTeX2e; on 05/02/2004 files were updated to produce PS | |
| dc.identifier | https://arxiv.org/abs/funct-an/9405002 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9405002 | |
| dc.identifier | J. of Natural Geometry, v. 9 (1996), no. 1, pp. 1-14 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147645 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | No More Than Mechanics. I | |
| dc.type | text |