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Taylor Involved: Understanding Rotation Operators

Thread starter Cosmossos
Start date Jan 5, 2010
Tags

Operator Rotation

1 reply · 2K views · last reply Jan 6, 2010

Cosmossos

Thread starter
Jan 5, 2010

#1

Hello,
I got the following question. can you please help me.

Typed forum text showing the claim R(φ)ψ(r,θ) = ψ(r,θ−φ) with R(φ) = exp(−iφL/ħ), φ given and constant, and an attempted solution exp(−iφL/ħ)ψ(r,θ) = exp(−φ ∂ψ(r,θ)/∂θ) = ????

I think that taylor may be involved but how?

Discussion

PRB147

Jan 6, 2010

#2

your problem seems to be in 2-D,
L is L_z
so, you can use taylor expansion of L_z
Please consult the translational operator P_z, it is the same!

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