Well, maybe i haven't explain the problem correctly. In Harrison's book, there is the following calculation
\omega=\sqrt{8\Delta V_{CB}(E_{g}^{AlAs}-E_{g}^{GaAs})(x_{max}-x_{min})} \frac{1}{a\sqrt{m}}
where
V_{CB}=0.67,
E_{g}^{AlAs}-E_{g}^{GaAs}=1247 meV,
x_{max}=10,
x_{min}=0...
Ah ok, yeah, but it is also true that \hbar=87.2827... but in what units?.
Because (87.2827..)(9.9878..)=871.879 meV, my problem is that i don't know what are the units of each number.
Thanks for the reply.
Hi everyone, in the book of Paul Harrison (Quantum Wells, Wires and Dots, 2nd Ed.), it is said that \hbarω=871.879 meV but it is known that \hbar=6.58214928\times10^{-13}meV so i can inferred that \omega=9.9879927, but i don't know the units of \omega, or how can i deduce what units he used for...