  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.
