- #1
zachzach
- 258
- 1
It is easily shown that two eigenfunctions with the same eigenvalues can be combined in a linear combination so that the linear combination is itself an eigenfunction. But what if the two eigenvalues are not the same? Can you still find a linear combination of the two functions that is an eigenfunction?
[tex]
aE_1 \psi_1+ b E_2 \psi_2 = E(\psi_1 + \psi_2)
[/tex]
[tex]
aE_1 \psi_1+ b E_2 \psi_2 = E(\psi_1 + \psi_2)
[/tex]