T
ABLE
2.2
Product Operators in the Cartesian Basis for a Two-Spin System
1 2
E
¼
1 2
1000010000100001
2 664
3 775
Iz
¼
1 2
10 0 001 0 0 00
10
00 0
1
2 664
3 775
Sz
¼
1 2
10000
10 0
0010000
1
2 664
3 775
2 I
Sz
z
¼
1 2
10 00 0
100
00
10
00 01
2 664
3 775
Ix
¼
1 2
0010000110000100
2 664
3 775
Iy
¼
1 2
00
i
0
00 0
i
i
00 0
0
i
00
2 664
3 775
2 I
Sx
z
¼
1 2
0010000
1
10000
10 0
2 664
3 775
2 I
Sy
¼z
1 2
00
i
0
00 0
i
i
000
0
i
00
2 664
3 775
Sx
¼
1 2
0100100000010010
2 664
3 775
Sy
¼
1 2
0
i
00
i
000
000
i
00
i
0
2 664
3 775
2 I
Sz
x
¼
1 2
01 0 010 0 000 0
1
00
10
2 664
3 775
2 I
Sz
y
¼
1 2
0
i
00
i
000
00 0
i
00
i
0
2 664
3 775
2 I
Sx
x
¼
1 2
0001001001001000
2 664
3 775
2 I
Sy
y
¼
1 2
000
1
(^00100100) 100 0
2 664
3 775
2 I
Sx
y
¼
1 2
000
i
00
i
0
0
i
00
i
000
2 664
3 775
2 I
Sy
x
¼
1 2
00 0
i
00
i
0
0
i
00
i
00 0
2 664
3 775
2.6 COHERENCE 71