Abstract
Abstract
A self-consistent quasi-classical generalization of the axiomatic quantization of the translational motion of a particle in a dissipative medium is proposed, which is modeled by a drag force
F
d
, which depends in a power-law manner on the velocity
v
:
F
d
∼
v
n
, where
n
is an arbitrary real number. A detailed analysis of the quasi-classical coherent state is carried out. It is shown that under condition
n
<
3
the dissipative medium suppresses the quantum properties of particle motion, performing the function of a classical measuring device. Otherwise, there is no suppression of quantum properties.