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Can this function be a wavefunction of a physical system?

  • Thread starter td21
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  • #1
td21
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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!
 

Answers and Replies

  • #2
dextercioby
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Assuming the potential to be time independent, can it be a solution to the spectral equation of the Hamiltonian ?

for 3), you need to do the integration and show that A is finite.
 

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