The concept of Existence and the derivation of a Quantum Force
Abstract
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 WilsonSommerfeldBohr'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 lasercooled atomic beams.
 Publication:

arXiv eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:quantph/0402200
 Bibcode:
 2004quant.ph..2200C
 Keywords:

 Quantum Physics
 EPrint:
 11 pages, Elsart document class