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 Sep 24 awarded Autobiographer Sep 17 awarded Teacher Sep 15 answered Diagram-like perturbation theory in quantum mechanics Sep 15 awarded Commentator Sep 4 awarded Scholar Sep 4 accepted Sinusoidaly Driven Two-Level System (TLS) Sep 4 comment Sinusoidaly Driven Two-Level System (TLS) Sorry, I was still typing it, it should all be there now Sep 4 comment Sinusoidaly Driven Two-Level System (TLS) In other words, the solution is a delta function at $\omega =\text{or} \pm \Omega c_a=C'_a \delta (\omega -\Omega ) \text{ + } C_a \delta (\omega -\Omega )$ , where $C_a$, $C_b$ are any C-numbers. Sep 4 comment Sinusoidaly Driven Two-Level System (TLS) Now that I think about it, I can cancel out $c_a$ in $c_a(\omega )=\frac{V^2 c_a(\omega )}{(2 \omega )^2+\omega _0^2}$ and solve for omega, which will give me exactly the correct rabi frequency: $\Omega = \sqrt{\left(\frac{V}{2}\right)^2-\left(\frac{\omega _0}{2}\right){}^2}$. This tells me that the equation will hold for any non-0 or non-infinite $c_a$ and $c_b$ only at $\omega = \pm \Omega$, and everywhere else $c_a$ and $c_b$ should be 0 (or Infinity, but that we leave out as unphysical). Sep 4 comment Sinusoidaly Driven Two-Level System (TLS) Sorry, why is $\omega_a+\omega_D=\omega_b$? and which delta function is a solution to my equation above, is it $\delta(\omega)$ or $\delta(\omega-\omega_D)$or $\delta(\omega-\omega_0)$? Sep 4 asked Sinusoidaly Driven Two-Level System (TLS) Jul 11 awarded Editor Jul 11 awarded Supporter May 31 comment Delivered/Reflected Power by Drive on a Hamiltonian System Does Q refer to charge? Yes on some deep level the system is a MW cavity, but I am only thinking of it near resonance so it is simplified to an RLC parallel circuit, which is formally equivalent to a damped driven mass-spring system. I hope this clarifies? I am not sure what you mean by integrate the Q of the cavity May 31 asked Delivered/Reflected Power by Drive on a Hamiltonian System Jan 10 asked Dyson Series Second Order Term Importance vs. Time Jan 9 awarded Student