- #1
fargoth
- 320
- 6
correct me if I am wrong..
as i see it, i can subtract any constant from the diagonal of the hamiltonian without really changing the system it describes... am i right?
if i got a two state system, the hamiltonian can look like this:
[tex] \left(
\begin{array}{cc}
0 & P_{2->1} \\
P_{1->2} & \Delta E \\
\end{array}
\right)[/tex]
where [tex]\Delta E=H_{22}-H_{11}[/tex]
if I am right so far... then here's my problem - when you diagonize the matrix it doesn't have the same eigenvalues (i mean not even the same delta...) if you add or subtract from the diagonal... and that can't be right... so what's wrong in my view of things?
as i see it, i can subtract any constant from the diagonal of the hamiltonian without really changing the system it describes... am i right?
if i got a two state system, the hamiltonian can look like this:
[tex] \left(
\begin{array}{cc}
0 & P_{2->1} \\
P_{1->2} & \Delta E \\
\end{array}
\right)[/tex]
where [tex]\Delta E=H_{22}-H_{11}[/tex]
if I am right so far... then here's my problem - when you diagonize the matrix it doesn't have the same eigenvalues (i mean not even the same delta...) if you add or subtract from the diagonal... and that can't be right... so what's wrong in my view of things?
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