Starting from Schrodinger's Equation show that a complex potential energy V=α+iβ yields a time dependent probability P of finding the particle in (-inf,inf), i.e. the particle is unstable and normalization cannot be insured over time. Compute P(+)
SE: ih/2m=-h^2/2m(∫∂ψ/∂x )+Vψ
The Attempt at a Solution
I tried inserting my value of potential energy into the SE as follows
and then i got stuck, am i supposed to integrate next or stick an an A and try to normalize and then prove that because it is not normalizeable it is unstable. Also what is P(+)
Thanks for any advice you can offer me.