You are studying a particle of mass m trapped in a region of zero potential between two infinite walls located at positions x = -and x = as shown in the figure below. U = +0 U = +0 U = 0 A colleague suggests that the wave function of the particle inside the box is Þ(x) = A cos( where n is any positive real number. a) Does the suggested wave function obey the boundary conditions for the n= 2 case? Explain.

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You are studying a particle of mass m trapped in a region of zero potential between two infinite
walls located at positions x = -
and x =, as shown in the figure below.
U = +0
U = +0
U = 0
L.
A colleague suggests that the wave function of the particle inside the box is
Þ(x) = A cos
where n is any positive real number.
a) Does the suggested wave function obey the boundary conditions for the n= 2 case?
Explain.
Transcribed Image Text:You are studying a particle of mass m trapped in a region of zero potential between two infinite walls located at positions x = - and x =, as shown in the figure below. U = +0 U = +0 U = 0 L. A colleague suggests that the wave function of the particle inside the box is Þ(x) = A cos where n is any positive real number. a) Does the suggested wave function obey the boundary conditions for the n= 2 case? Explain.
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