Question

The wave-function of a particle at a state 'n' is given by

ψ(x)=⎧⎩⎨(2/a−−−√)cos(3πx/a), for |x|≤a/20, for |x|>a/2.

What is the average momentum of the particle at the state 'n'.

 zero

ℏπ/a

3ℏπ/a

 None of the above.

Answer 1

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Answer 2

At t = 0 a particle in an infinite square well potential.

V (x) = {. 0,. 0 <x<L, с elsewhere,. (1) is in a state described by the wave function. Ψ(x,0) = {. √. 2. 3L sin. (2π. L ... +i. √. 2. 3 e. −iE3t/h|ψ3. ⟩ ,.

Here En is the energy of the state |ψn. ⟩.