- #1
Diomarte
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Homework Statement
The translation operator T(a) is defined to be such that: T(a)ψ(x) = ψ(x+a)
Show that:
T(a) can be expressed in terms of the operator p = -iħ d/dx
and T(a) is unitary.
Homework Equations
T(a)ψ(x) = ψ(x+a)
p = -iħ d/dx
The Attempt at a Solution
I honestly have no idea how to start this expression, I figured there may be some way of doing it in a Taylor's expansion maybe, but I'm not sure how that would work, and that's the only guess I have on how to start this. Could anybody possibly give me some direction on where to start, please? Thank you very much.