- #1

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[A*,A] = (2m(h/2∏)ω)^1 [mωx - ip, mωx + ip] = (2m(h/2∏)ω)^1 {m^2ω^2 [x,x] + imω ([x,p] - [p,x]) + [p,p]}

Since we have the identity;

[x,p] = -[p,x]

can one assume that..

[x,p] - [p,x] = [x,p] - (-[x,p]) = -2[p,x]

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- Thread starter lukka
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- #1

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[A*,A] = (2m(h/2∏)ω)^1 [mωx - ip, mωx + ip] = (2m(h/2∏)ω)^1 {m^2ω^2 [x,x] + imω ([x,p] - [p,x]) + [p,p]}

Since we have the identity;

[x,p] = -[p,x]

can one assume that..

[x,p] - [p,x] = [x,p] - (-[x,p]) = -2[p,x]

- #2

CompuChip

Science Advisor

Homework Helper

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That's right.

(And of course [x, x] = [p, p] = 0).

(And of course [x, x] = [p, p] = 0).

- #3

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Thanks CompuChip

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