3. A ID quantum well is described by the following position dependent potential energy for a moving particle of mass m: V = {-V, 0sx L, where V, is a positive constant and L is the width of the quantum well. The total energy E of the particle is between -V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization of the wavefunctions is not required.
3. A ID quantum well is described by the following position dependent potential energy for a moving particle of mass m: V = {-V, 0sx L, where V, is a positive constant and L is the width of the quantum well. The total energy E of the particle is between -V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization of the wavefunctions is not required.
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Transcribed Image Text:3.
A ID quantum well is described by the following position dependent potential energy for a
moving particle of mass m:
x<0,
V = {-V, 0<r<L,
x 2 L,
where V, is a positive constant and L is the width of the quantum well. The total energy E of the
particle is between –V, and 0 (i.e., -V, < E < 0 so bound states only!). Find the wavefunctions in
each region. Apply as many boundary conditions as possible to these wavefunctions. Normalization
of the wavefunctions is not required.
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