Question

A particular positron is restricted to one dimension and has a wave function given by ψ(x)=...

A particular positron is restricted to one dimension and has a wave function given by ψ(x)= Ax between x = 0 and x = 1.00 nm, and ψ(x) = 0 elsewhere. Assume the normalization constant A is a positive, real constant.

(a) What is the value of A (in nm−3/2)?

nm−3/2

(b) What is the probability that the particle will be found between x = 0.290 nm and x = 0.415 nm?

P =

(c) What is the expectation value of the positron's position (in nm)?

nm

(d) What If? For what value of x (in nm) does the positron have an equal probability of being to the left or to the right of that position?

nm

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