I would like to know how to draw a quiver diagram like this one. I know there exists TikZ or something like that, but I don't know the commands or packages necessary to draw it.

I would like to know how to draw a quiver diagram like this one. I know there exists TikZ or something like that, but I don't know the commands or packages necessary to draw it.

As you want the arrows close to the nodes I think that you need to use a decoration. Here is one way to do it:

and here is the code:
\documentclass[border=5mm,tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\tikzset{% arrow close to the source: the 0.2 determines where the arrow is drawn
->-/.style={decoration={markings, mark=at position 0.2 with {\arrow{stealth}}},
postaction={decorate}},
}
\begin{tikzpicture}[every node/.style={circle,draw},thick]
\node(NL) at (0,0){$N$};
\node(NR) at (2,0){$N$};
\draw[->-](NL.north east)--(NR.north west);
\draw[->-](NR.south west)--(NL.south east);
\end{tikzpicture}
\end{document}
A somewhat similar PSTricks solution:
\documentclass{article}
\usepackage{xfp}
\usepackage{pstricks-add}
\def\quiver[#1,#2]#3#4{
\begin{figure}
\centering
\begin{pspicture}(\fpeval{2*#1+#2},\fpeval{2*#1})
\rput(#1,#1){#3}
\rput(\fpeval{#1+#2},#1){#4}
\cnode(#1,#1){#1}{A}
\cnode(\fpeval{#1+#2},#1){#1}{B}
\psset{
offset = -8pt,
nodesep = -3pt, % adjust manually
ArrowInside = ->,
ArrowInsidePos = 0.25,
arrowsize = 0.2
}
\ncline{A}{B}
\ncline{B}{A}
\end{pspicture}
\caption{A quiver diagram between #1 and #2.} % I have no idea if it's called that...
\end{figure}
}
\begin{document}
% \quiver[<radius>, <separation>]{<left node>}{<right node>}
\quiver[0.5, 3.5]{$N$}{$M$}
\end{document}

All you have to do is choose the radius of the circles and the distance between them, and choose what to write in the circles (as the arguments to the \quiver command).
An answer using TikZ version 3:
\documentclass[border=5mm,tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\pgfarrowsdeclare{:}{:}{}{}
\begin{document}
\begin{tikzpicture}[
->-/.style={arrows={:Stealth[reversed,sep=1.5ex]-}},
every node/.style={circle,draw,outer sep=0},
thick
]
\node(NL) at (0,0){$N$};
\node(NR) at (2,0){$N$};
\draw[->-](NR.north west)--(NL.north east);
\draw[->-](NL.south east)--(NR.south west);
\end{tikzpicture}
\end{document}
The line \pgfarrowsdeclare{:}{:}{}{} is used to create a "no-tip" arrow spec (see this answer).
Then the special arrows are generated using arrows={:Stealth[reversed,sep=1.5ex]-} which reads as
put no tip, then a reversed Stealth tip separated by 1.5ex space from the previous and then complete the arrow with a line to destination
This style is then aliased to ->- for better readability and reusability, similarly to @Andrew's answer.
The "or something like that" in the OP includes Metapost, the Knuth-Hobby drawing language. Here's my attempt at your quiver diagram.

prologues := 3;
outputtemplate := "%j%c.eps";
beginfig(1);
-z1 = z2 = 40 right;
path c[];
c1 = fullcircle scaled 20 shifted z1;
c2 = fullcircle scaled 20 shifted z2;
draw c1; draw c2;
label(btex $N$ etex, z1);
label(btex $N$ etex, z2);
path a[];
s = 2/3; % 8 points in a "fullcircle" so 2/3 == 30°
a1 = point 0-s of c1 -- point 4+s of c2;
a2 = point 4-s of c2 -- point 0+s of c1;
r = 1/5;
drawarrow subpath(0,r) of a1; draw subpath (r,1) of a1;
drawarrow subpath(0,r) of a2; draw subpath (r,1) of a2;
endfig;
end.
Another PSTricks one:
\documentclass{article}
\usepackage{pstricks-add}
\newcommand*\quiver[3][2cm]{%
\cnodeput(0,0){A}{\strut#2}\cnodeput(#1,0){B}{\strut#3}%
\ncline[offset=-1ex,nodesep=-1pt,ArrowInside=->,ArrowInsidePos=0.3,arrowsize=0.2]{A}{B}%
\ncline[offset=-1ex,nodesep=-1pt,ArrowInside=->,ArrowInsidePos=0.3,arrowsize=0.2]{B}{A}%
\hspace{#1}}
\begin{document}
\quiver{$N$}{$n$} \par\bigskip
\quiver[3cm]{$N$}{$n$}
\end{document}

A short solution with \pstricks-add. The nodesep parameter has been adjusted manually:
\documentclass[pdf]{article}
\usepackage{pstricks-add}
\begin{document}
\[ \psset{ArrowInside=->, ArrowInsidePos=0.25, arrowinset=0.25 , linewidth=0.6pt, nodesep=-1.5pt, colsep=1.2cm, offset=1ex}
\begin{psmatrix}[mnode = circle]
N & N
%%%
\ncline{1,1}{1,2}\ncline{1,2}{1,1}
\end{psmatrix}
\]
\end{document}

pdf option do for article in this case exactly? Does it load some package?
– skpblack
Oct 17 '14 at 10:47
pdflatex, provided you use the -shell-escape (TeX Live, MacTeX) switch, or --enable-write18(MiKTeX). It tells pstricks to load the auto-pst-pdf package, whch does the job.
– Bernard
Oct 17 '14 at 10:53
Just for fun with TikZ.
\documentclass[tikz,border=12pt,12pt]{standalone}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\draw (-2,0) circle (12pt) (2,0) circle (12pt);
\draw[->] (60:12pt)++(-2,0) -- +(1,0);
\draw (60:12pt) ++(-1,0) ++ (-2pt,0) -- ($(120:12pt)+(2,0)$);
\draw[->] (-120:12pt) ++(2,0) -- +(-1,0);
\draw (-120:12pt) ++(1,0) ++ (2pt,0) -- ($(-60:12pt)+(-2,0)$);
\node at (-2,0) {A};
\node at (2,0) {B};
\end{tikzpicture}
\end{document}

outer sep=0of the nodes for better merging. – percusse Oct 17 '14 at 09:12scale=3to the tikzpicture environment (that is,\begin{tikzpicture}[scale=3, every node...]') will make the picture three times larger. Addingminimum sizeto the node specifications will make the nodes bigger (soevery node/.style={circle,draw,minimum size=16mm}or\nodeminimum size=20mm...`). – Oct 21 '14 at 11:18