Consider a particle of mass u bound in an infinite square potential energy well in three dimensions: U(x, y, z) = {+00 0

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Consider a particle of mass μ bound in an infinite square potential energy well in three dimensions:
U(x, y, z) = {+00 0 < x <L, 0 < y < L,0 < z < L
otherwise
Use separation of variables in Cartesian coordinates in answering these items.
Find the energy eigenvalues and eigenstates of this particle.
Find the degeneracy of the first six energy levels.
a.
b.
o
Transcribed Image Text:Consider a particle of mass μ bound in an infinite square potential energy well in three dimensions: U(x, y, z) = {+00 0 < x <L, 0 < y < L,0 < z < L otherwise Use separation of variables in Cartesian coordinates in answering these items. Find the energy eigenvalues and eigenstates of this particle. Find the degeneracy of the first six energy levels. a. b. o
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