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