Is exp (- mod(x)/a) an eigenfunction of momentum?

Thread starter sachi
Start date Dec 16, 2005
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Eigenfunctions Momentum

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sachi

Thread starter
Dec 16, 2005

Is exp (- mod(x)/a) an eigenfunction of momentum. I know that this is not differentiable at x = 0, but does this completely disqualify it from being a momentum eigenfunction?

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Physics Monkey

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Dec 16, 2005

That state doesn't have the same derivative above and below zero, so clearly it isn't a momentum eigenstate.

Is exp (- mod(x)/a) an eigenfunction of momentum?

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Is exp (- mod(x)/a) an eigenfunction of momentum?

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