Transition from bound states to continuous states

  • Thread starter giova7_89
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Transition from bound states to "continuous" states

If I have the Hamiltonian for the Hydrogen atom and a perturbation given by a classical electric field (the kind of problems you get in an ordinary course about QM, no QFT involved), can I have a transition from a bound state (I intend a discrete state [tex]|n,l,m>[/tex]) to a state with energy greater than 0 (that is a state in the continuous spectrum of the unperturbed Hamiltonian). I calculated the probability amplitude [tex]<E|n,l,m>_t[/tex] by means of the Dyson series and it comes off as 0...
 

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And what bothers me is that I know that is physically possible to ionize an atom... That is, send an electron in a bound state into a scattering state..
 
  • #3
A. Neumaier
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If I have the Hamiltonian for the Hydrogen atom and a perturbation given by a classical electric field (the kind of problems you get in an ordinary course about QM, no QFT involved), can I have a transition from a bound state (I intend a discrete state [tex]|n,l,m>[/tex]) to a state with energy greater than 0 (that is a state in the continuous spectrum of the unperturbed Hamiltonian). I calculated the probability amplitude [tex]<E|n,l,m>_t[/tex] by means of the Dyson series and it comes off as 0...
Maybe you should share your calculation. Otherwise one cannot tell what you did wrong.
 
  • #4
Matterwave
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Did you make sure to conserve angular momentum in your transition?
 
  • #5
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Thank you but I managed to solve my problem. It was a calculation mistake!
 

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