The concept of Existence and the derivation of a Quantum Force
| dc.creator | Costa, C. G. S. | |
| dc.date | 2004-02-26 | |
| dc.date.accessioned | 2026-07-07T06:09:08Z | |
| dc.date.available | 2026-07-07T06:09:08Z | |
| dc.description | We define a new dynamical variable, the relative existence e, in terms of space and time. Taking it as a generalized positional coordinate, we show that for conservative systems the canonically conjugated momentum is identified as the classical force. Applying Wilson-Sommerfeld-Bohr's quantum conditions for a conditionally periodic motion, we derive an expression for the quantum force, F = hbar k f_e, where k is the wave number and f_e is the characteristic frequency of the system. Applying Dirac's method to the Poisson Brackets involving existence and force, we obtain the uncertainty relation Delta e Delta F >= hbar/2. The force quantization may have already been observed in stimulated bichromatic optical force experiments, used to deflect, decelerate and manipulate laser-cooled atomic beams. | |
| dc.description | 11 pages, Elsart document class | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0402200 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0402200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91865 | |
| dc.subject | Quantum Physics | |
| dc.title | The concept of Existence and the derivation of a Quantum Force | |
| dc.type | text |