Can exited states exist without a ground state?

[Mark_M]

Hello everybody,

I have a question which might be silly. Nevertheless: Can exited states exist if you know that the ground state do not exist? Will in such a case first exited state become the ground state?

Thanks.

 

[dauto]

The ground state is the state of lowest energy. How could it not exist?

 

[Mark_M]

When I say it does not exists I mean, that under some conditions on vector and scalar potentials, the Klein Gordon or Dirac equation will not have a wave function which corresponds to the ground state. Therefore can we conclude from there that under the same conditions the exited states will not exist?

 

[dauto]

When I say it does not exists I mean, that under some conditions on vector and scalar potentials, the Klein Gordon or Dirac equation will not have a wave function which corresponds to the ground state. Therefore can we conclude from there that under the same conditions the exited states will not exist?

If your system has no solutions at all than it is not a valid model and if it has solutions, than the one(s) with lowest energy will be the ground state. I don't how one could possibly have a system with a ground state that doesn't exist. I can't make sense of your question.