We know that Spin is described with SU(2) and
that SU(2) is a double cover of the rotation
group SO(3). This suggests a simple thought
experiment, to be described below. The question then is in three
parts:
Is this thought experiment theoretically sound?
Can it be conducted experimentally?
If so what has been the result?
The experiment is to take a slab of material in which there are
spin objects e.g. electrons all (or most) with spin ?. Then rotate...
(a) Find the matrix representation for the orthogonal projection
Pr : R 4 → R 4 onto the plane P= span
1
-1
-1
1
-1
-1
1
1
(b) Find the distance of vector ~y =
2
0
0
4
from the plane P.
4 a) Find the Fourier Integral representation of ?(?) = 1 ?? |?|
< 1
0 ?? |?| > 1
b) Find the Fourier Sine Transform of ?(?) = ? −|?| . Hence
evaluate ∫ ?????? 1+?2 ??.
The daily requirements for patrol officers are: M T W TH F SA
SU
4 5 6 7 10 9 9
Question: Each officer works 5 days a week and must have 2
consecutive days off. You are scheduling officers to work the
appropriate days of the week. The second officer you schedule is to
work which days of the week?
A _______________ is a graphical representation of how much of a
good or service households will want to buy at different prices. A
_______________ is a graphical representation of how much of a good
or service a firm is willing to sell at some specific price. The
intersection of the demand and supply curve is called
_______________. This is where the quantity demanded is equalto the
quantity supplied. There is a _______________ of a good or service
when the quantity...