1. Consider a particle of mass m which can move freely along the axis anywhere from =-a/2 to z-a/2, but which is strictly prohibited from being found outside this region. The particle is described by the wavefunction Acos(-if-a/2

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1. Consider a particle of mass m which can move freely along the z axis
anywhere from r=-a/2 to 1 a/2, but which is strictly prohibited from
being found outside this region. The particle is described by the wavefunction
[Acos()e-if-n/2<s,
+a/2
((r.)=
10.
otherwise
(1) Does Vir.t) verify the Schrödinger's Equation?
(i) Determine the probability density P(r.t).
(ii) Dors (r, t) verify the Born's postulate?
(iv) Does (r.) verify Heisenberg's Uncertainty Principle?
Transcribed Image Text:1. Consider a particle of mass m which can move freely along the z axis anywhere from r=-a/2 to 1 a/2, but which is strictly prohibited from being found outside this region. The particle is described by the wavefunction [Acos()e-if-n/2<s, +a/2 ((r.)= 10. otherwise (1) Does Vir.t) verify the Schrödinger's Equation? (i) Determine the probability density P(r.t). (ii) Dors (r, t) verify the Born's postulate? (iv) Does (r.) verify Heisenberg's Uncertainty Principle?
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