https://www.quanty.org/ 2026-04-30T18:07:03+00:00 https://www.quanty.org/ https://www.quanty.org/_media/wiki/dokuwiki.svg text/html 2025-11-20T03:15:42+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/documentation/language_reference/objects/responsefunction/start?rev=1763608542&do=diff Response function The ResponseFunction object in Quanty defines (linear) response functions. For Hamiltonian $H$, ground-state $| \psi_0 \rangle$ and a list of transition operators $T_i$ with $i \in [1,n]$ we define the response function $G(\omega,\Gamma)$ as giving an $n$ by $n$ matrix for each value of $\omega$ and $\Gamma$$$ G_{i,j}(\omega,\Gamma) = \left\langle \psi_0 \middle| T^{\dagger}_i \frac{1}{\omega - H + \mathrm{i} \Gamma/2 + E_0} T^{\phantom{\dagger}}_j \middle| \psi_0 \right\rangle…