# Angular Momentum Operator in terms of ladder operators

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Ben Niehoff
Gold Member
You missed the

$$e^{\pm i \phi}$$

in the definition of $L_{\pm}$

You missed the

$$e^{\pm i \phi}$$

in the definition of $L_{\pm}$
dont they multiply to give 1?

$$e^{ i \phi}e^{- i \phi} = 1$$

Edit:

you were right, i got it in the end taking into account the exponential factors...was a ***** of an algebra grindfest though

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