A. Suppose a particle starts out (t = 0) in the ground state of the initial well:
\ll(x, 0) = l sin (~x).
Show that the expansion coefficients can be written in the form
21rr . , Cn = - e-,c, z- sin(nz) sin(z) dz,
l[ 0
[10.5]
where a = mva/ 2n2n is a dimensionless measure of the speed with which
the well expands. (Unfortunately, this integral cannot be evaluated in terms
of elementary functions.)

B. Suppose we allow the well to expand to twice its original width, so the
"external" time is given by w(Te) = 2a. The "internal" time is the period of
the time-dependent exponential factor in the (initial) ground state. Determine
Te and T;, and show that the adiabatic regime corresponds to a « 1, so that
exp(-iaz2) ~ 1 over the domain of integration. Use this to determine the
expansion coefficients, en. Construct \ll(x , t), and confirm that it is consistent
with the adiabatic theorem

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000