As argued at the end of subsection II B and subsection III C, since action is evaluated in
configuration space instead of in ordinary space, then the random fluctuation of infinitesimal
stationary action with respect to the whole ‘system+apparatus’ is not separable into the
fluctuation pertaining to the system and that pertaining to the apparatus. This is explicitly
reflected in the inseparability of wave function of Eqs. (48) or (60). Like the corresponding
classical model, here the atomic degree of freedom plays the role as the apparatus. The
total wave function becomes entangled due to interaction. The whole system+apparatus
must then be regarded as a single unanalyzable whole, both fluctuates together inseparably.
Hence, unlike measurement in classical mechanics discussed in the previous section in which
the interaction Hamiltonian conserves the relevant component of the angular momentum of
the particle being measured, in the statistical model, the same component of the angular
momentum prior to measurement is inevitably disturbed.
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