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WOLFRAM|DEMONSTRATIONS PROJECT

Commute p to the Left

​
e
1
0
1
2
3
e
2
0
1
2
3
e
3
0
1
2
3
e
4
0
1
2
3
scale results
2
x
**
2
p
x**x**p**p
x**p**x**p+ℏx**p
ℏp**x+ℏx**p+p**x**x**p-
2
ℏ
3ℏp**x+p**x**p**x-2
2
ℏ
4ℏp**x+p**p**x**x-2
2
ℏ
p**p**
2
x
+4ℏp**x-2
2
ℏ
2
p
**
2
x
+4ℏp**x-2
2
ℏ
Using the canonical commutation rule
x**p-p**xιℏ
to commute
p
to the left of each term.
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