|Jun15-04, 03:24 AM||#1|
Spin-1 nonlocal force structures:As simple as I can describe it.
The simplest state transition experiment for a spin-1 particle is, S -> T -> S. This expression describes two events, 1) polarization, S -> T, upon entry into a magnetic field volume of a Stern-Gerlach T Segment, and 2) the depolarization, T - > S, when exiting the SG segment into a field free region.
The generalized S state (either +S, +-S or -S) reflect the orientation of the particle spin vector parallel to the magnetic field/gradient of the S segment. + indicates 'up' motion along the S line (or z-axis). The polarization event, S -> T orients S to some T state orientation (either +T, +-T or -T). We do no harm by defining the states as magnetic monople spin vectors.
The T -> S reformation always occurs in a field free region immediately outside the T segment.This reformed spin state is characteristic of spin-1 particles manifest as inertial platforms.
Compass needles find north by force the the earth's magnetic field. The T -> S reformation is guaranteed by unobserved, or nonlocal elements of S defined as 00[S]. We include nonlocal elements, without any physical assumption attached, in S as S = S(1 00 [S]). The '1' inserted for instructional purposes is understood as equivalent to '+'.
The transition expression now is:
S = S(1 00[S]) -> T (1 00[S]) -> (_ 00[S]) -> S(1 00[S]) = S.
The fourth term (_ 00[S]) emphacises the unperturbed nature of the nonlocal elements guaranteeing the reformation of the +S state in the field free region.
The forces guaranteeing the reformation of the +S state, the 00[S], are unobserved, or nonlocal and not X,Y components of the +S state.
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