# Definition of a bound state

1. Apr 5, 2015

### dyn

In 1-D if I have an infinite potential at x<0 so the wavefunction is zero for x<0 but for x>0 the potential is zero so the wavefunction oscillates to infinity is that a bound state ? I presume this isn't bound as it can't be normalized but most definitions state that bound means the wavefunction tends to zero as x tends to + or - infinity. so is my example bound ? Thanks

2. Apr 5, 2015

### ShayanJ

No, its not bound because it can radiate to infinity. See here!

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