- #1

td21

Gold Member

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## Homework Statement

Can this function be a wavefunction of a physical system with finite potention energy:

[tex]\psi(x)=\frac{A}{\sqrt{x^2+b^2}}[/tex]

## Homework Equations

no

## The Attempt at a Solution

The ans is YES.

1)it is continuous.

2)its derivative also continous.

3)It can be normalized, as it tends to zero as x tends to infinity. Also when x=0, this function is finite.Is the above argument enough? Also for 3), do i need to do an integration to prove it can be normalized? Thanks!