5

Quantum

Mechanics

One-Dimensional Potentials

5.1 Shallow Square Well I (Columbia)

A particle ofmass moving in onedimension has apotential which
is a shallow square well near the origin:

where isa positiveconstant.Derive the eigenvalueequation for the state
of lowestenergy, which is aboundstate(seeFigureP.5.1).

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