Infinity potential hole - transition to base state

[lakmus]

Hi!
I try to figure out the probability (sure as function of parameter time) of
transition particle in the hole from the first excitation state to the base
state in an infinity potential hole. Because the eigenfuncion of particle there
are orthogonal, the probability looks like zero - where could be the problem?

Thanks!

 

[Sonderval]

There is no error at all - energy eigenstates are stable.
In reality, some external disturbance would suffice to get the electron to fall to the ground state. We discussed this briefly (for a H-atom) in this thread:
https://www.physicsforums.com/showthread.php?t=658128
(on the second page)

 

[lakmus]

Thaks a lot for reply. The link explained it to me!