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visits member for 1 year, 3 months
seen Apr 9 at 17:59

PhD Student Physics

Experience in:

Mathemtaica, Java, C++, Php, Delphi, OpenGL

some experience in:

VB, MySQL, CSS


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