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--- test [August 16, 2026 at 16:48] – Ivan Janevski
+++ test [August 17, 2026 at 17:49] (current) – Ivan Janevski
@@ Line 1: / Line 1: @@
-Can I use ket
+\documentclass[tikz,border=5pt]{standalone}
-$$\lvert\psi\rangle\langle\psi\lvert\\ \ket{\psi}\bra{\psi}$$
+\usepackage{amsmath}
+\usepackage{circuitikz}
+\usetikzlibrary{
+    calc,
+    arrows.meta,
+    decorations.pathmorphing
+}
-\documentclass[border=5pt]{standalone}
-\usepackage{tikz}
-\usetikzlibrary{arrows.meta,positioning}
 \begin{document}
-\begin{tikzpicture}[node distance=18mm,>={Stealth[round]}]
-  \node[draw,circle] (a) {$a$};
-  \node[draw,circle,right=of a] (b) {$b$};
-  \node[draw,circle,right=of b] (c) {$c$};
-  \draw[->,thick] (a) -- node[above]{$f$} (b);
-  \draw[->,thick] (b) -- node[above]{$g$} (c);
-  \draw[->,thick,bend right=40] (a) to node[below]{$g\circ f$} (c);
-\end{tikzpicture}
-\end{document}
+\begin{circuitikz}[
+    line width=1.35pt,
+    line cap=round,
+    line join=round,
+    >=Latex,
+    font=\Large
+]
-\documentclass[border=5pt]{standalone}
+% ============================================================
-\usepackage{tikz}
+% Resistor style
-\begin{document}
+% ============================================================
-\begin{tikzpicture}[opacity=0.55,text opacity=1]
-  \fill[red!70]   ( 90:0.9) circle (1.5);
-  \fill[green!70] (210:0.9) circle (1.5);
-  \fill[blue!70]  (330:0.9) circle (1.5);
-  \node at ( 90:1.7) {$A$};
-  \node at (210:1.7) {$B$};
-  \node at (330:1.7) {$C$};
-  \node[opacity=1] at (0,0) {\small $A\cap B\cap C$};
-\end{tikzpicture}
-\end{document}
+\tikzset{
+    resistor/.style={
+        decorate,
+        decoration={
+            zigzag,
+            segment length=8.0pt,
+            amplitude=5.2pt
+        }
+    }
+}
+% ============================================================
+% Main geometry
+% ============================================================
+\coordinate (C)  at ( 0.00, 0.00);
+\coordinate (L)  at (-4.40, 0.00);
+\coordinate (TL) at (-2.10, 3.80);
+\coordinate (TR) at ( 2.22, 3.80);
+\coordinate (R)  at ( 4.40, 0.00);
+\coordinate (BR) at ( 2.26,-3.72);
+\coordinate (BL) at (-2.28,-3.72);
+% ============================================================
+% Outer upper-left branch
+% ============================================================
+\coordinate (UL1) at ($(L)!0.25!(TL)$);
+\coordinate (UL2) at ($(L)!0.67!(TL)$);
+\draw (L) -- (UL1);
+\draw[resistor] (UL1) -- (UL2);
+\draw (UL2) -- (TL);
+\node at (-3.79,1.88) {$R$};
+% ============================================================
+% Top branch: Ig1 + R
+% ============================================================
+\coordinate (Ig1) at (-0.91,3.80);
+\draw
+    (TL)
+    --
+    ($(Ig1)+(-0.62,0)$);
+\draw
+    (Ig1)
+    circle[radius=0.62];
+\draw[-{Latex[length=8pt,width=8pt]},line width=1.5pt]
+    ($(Ig1)+(0.30,0)$)
+    --
+    ($(Ig1)+(-0.31,0)$);
+\draw
+    ($(Ig1)+(0.62,0)$)
+    --
+    (0.04,3.80);
+\draw[resistor]
+    (0.04,3.80)
+    --
+    (1.14,3.80);
+\draw
+    (1.14,3.80)
+    --
+    (TR);
+\node at (-0.91,4.77) {$I_{g1}$};
+\node at (0.59,4.36) {$R$};
+% ============================================================
+% Outer upper-right branch
+% ============================================================
+\coordinate (UR1) at ($(TR)!0.25!(R)$);
+\coordinate (UR2) at ($(TR)!0.67!(R)$);
+\draw (TR) -- (UR1);
+\draw[resistor] (UR1) -- (UR2);
+\draw (UR2) -- (R);
+\node at (3.75,1.88) {$R$};
+% ============================================================
+% Outer lower-right branch
+% ============================================================
+\coordinate (LR1) at ($(R)!0.26!(BR)$);
+\coordinate (LR2) at ($(R)!0.67!(BR)$);
+\draw (R) -- (LR1);
+\draw[resistor] (LR1) -- (LR2);
+\draw (LR2) -- (BR);
+\node at (3.72,-1.88) {$R$};
+% ============================================================
+% Bottom branch: E3 + R
+% ============================================================
+\coordinate (E3) at (-1.01,-3.72);
+\draw
+    (BL)
+    --
+    ($(E3)+(-0.62,0)$);
+\draw
+    (E3)
+    circle[radius=0.62];
+\draw
+    ($(E3)+(0.62,0)$)
+    --
+    (0.02,-3.72);
+\draw[resistor]
+    (0.02,-3.72)
+    --
+    (1.15,-3.72);
+\draw
+    (1.15,-3.72)
+    --
+    (BR);
+\node at (-1.23,-4.48) {$+$};
+\node at (-1.00,-5.08) {$E_3$};
+\node at (0.59,-4.36) {$R$};
+% ============================================================
+% Outer lower-left branch: E2 + R
+% ============================================================
+\coordinate (E2) at (-3.70,-1.08);
+\draw
+    (L)
+    --
+    ($(E2)!0.62cm!(L)$);
+\draw
+    (E2)
+    circle[radius=0.62];
+\coordinate (E2out)
+    at ($(E2)!0.62cm!(BL)$);
+\coordinate (LL1)
+    at ($(E2out)!0.28!(BL)$);
+\coordinate (LL2)
+    at ($(E2out)!0.70!(BL)$);
+\draw
+    (E2out)
+    --
+    (LL1);
+\draw[resistor]
+    (LL1)
+    --
+    (LL2);
+\draw
+    (LL2)
+    --
+    (BL);
+\node at (-4.76,-0.80) {$+$};
+\node at (-4.80,-1.84) {$E_2$};
+\node at (-3.67,-2.91) {$R$};
+% ============================================================
+% Horizontal branch: Ig2
+% ============================================================
+\coordinate (Ig2) at (-2.05,0);
+\draw
+    (L)
+    --
+    ($(Ig2)+(-0.62,0)$);
+\draw
+    (Ig2)
+    circle[radius=0.62];
+\draw[-{Latex[length=8pt,width=8pt]},line width=1.5pt]
+    ($(Ig2)+(-0.30,0)$)
+    --
+    ($(Ig2)+(0.31,0)$);
+\draw
+    ($(Ig2)+(0.62,0)$)
+    --
+    (C);
+\node at (-2.06,1.10) {$I_{g2}$};
+% ============================================================
+% Horizontal branch: Ig3
+% ============================================================
+\coordinate (Ig3) at (2.07,0);
+\draw
+    (C)
+    --
+    ($(Ig3)+(-0.62,0)$);
+\draw
+    (Ig3)
+    circle[radius=0.62];
+\draw[-{Latex[length=8pt,width=8pt]},line width=1.5pt]
+    ($(Ig3)+(-0.30,0)$)
+    --
+    ($(Ig3)+(0.31,0)$);
+\draw
+    ($(Ig3)+(0.62,0)$)
+    --
+    (R);
+\node at (2.08,1.10) {$I_{g3}$};
+% ============================================================
+% Internal upper-left resistor
+% ============================================================
+\coordinate (IUL1)
+    at ($(TL)!0.27!(C)$);
+\coordinate (IUL2)
+    at ($(TL)!0.66!(C)$);
+\draw
+    (TL)
+    --
+    (IUL1);
+\draw[resistor]
+    (IUL1)
+    --
+    (IUL2);
+\draw
+    (IUL2)
+    --
+    (C);
+\node at (-1.36,1.88) {$R$};
+% ============================================================
+% Internal lower-left resistor
+% ============================================================
+\coordinate (ILL1)
+    at ($(C)!0.31!(BL)$);
+\coordinate (ILL2)
+    at ($(C)!0.68!(BL)$);
+\draw
+    (C)
+    --
+    (ILL1);
+\draw[resistor]
+    (ILL1)
+    --
+    (ILL2);
+\draw
+    (ILL2)
+    --
+    (BL);
+\node at (-1.33,-1.88) {$R$};
+% ============================================================
+% Internal upper-right source E1
+% ============================================================
+\coordinate (E1) at (1.20,2.10);
+\draw
+    (C)
+    --
+    ($(E1)!0.62cm!(C)$);
+\draw
+    (E1)
+    circle[radius=0.62];
+\draw
+    ($(E1)!0.62cm!(TR)$)
+    --
+    (TR);
+\node at (0.83,2.97) {$E_1$};
+\node[rotate=-31] at (0.87,3.31) {$+$};
+% ============================================================
+% Internal lower-right source E4
+% ============================================================
+\coordinate (E4) at (1.24,-2.07);
+\draw
+    (C)
+    --
+    ($(E4)!0.62cm!(C)$);
+\draw
+    (E4)
+    circle[radius=0.62];
+\draw
+    ($(E4)!0.62cm!(BR)$)
+    --
+    (BR);
+\node at (2.06,-1.67) {$E_4$};
+\node[rotate=-31] at (2.20,-2.14) {$+$};
+% ============================================================
+% Junction dots
+% ============================================================
+\fill (L)  circle[radius=4.2pt];
+\fill (TL) circle[radius=4.2pt];
+\fill (TR) circle[radius=4.2pt];
+\fill (R)  circle[radius=4.2pt];
+\fill (BR) circle[radius=4.2pt];
+\fill (BL) circle[radius=4.2pt];
+\fill (C)  circle[radius=4.2pt];
+\end{circuitikz}
+\end{document}