Quote: if a particle is to be bound in a potential well, it can do so only if it has a very definite energy; otherwise get exponential growth of the amplitude to be outside of the potential well

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You should appreciate that the solution we have … [i.e., exponential decay outside of a potential well and roughly sinusoidal behavior inside]. If we were to raise or lower the energy ever … two broken-line curves [for probability amplitude growing exponentially outside of the potential well] … , and we would not have the proper … be bound in a potential well, it can …   Google-1   Google-2

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Topic: quantum mechanics (100 items)