- #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!