The function e^-x^2/2,e^-ix, xe^-x are acceptable wavefunctions and x^2e^-2piex is a non-acceptable wavefunction.
An acceptable wavefunction is defined at every point in the specified interval.
- The function e^-x^2/2 is an acceptable wavefunction as it is defined at every point in the interval.
- It becomes finite at the point
- x tends to infinity and x tends to -infinity
- The function e^-ix=cosx-isinx
- It is an acceptable wave function because of is defined at every point in the interval. It becomes finite.
- f(x)--[-1,1]
- f(x)=x^2e^-2pieix=x^2(cos2piex-isin2piex)
- It is not an acceptable wavefunction as it tends to infinite.
- The function is xe^-x is acceptable wavefunction as it is defined at every point in the interval.
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