first test

$sl(2)$-triple.

$[e,f] = h$

$ [h,e] = 2e $

$[h,f]=-2f$

mathjax test

inline math $x$, $y$, $x_1$, $y_1$.

aaaaaa \[ a^2 + b^2 = c^2 \] aaaaa

display math: \(|\psi_1\rangle = a|0\rangle + b|1\rangle\)

Test a display math with equation number: \(\begin{align} |\psi_1\rangle &= a|0\rangle + b|1\rangle \\ |\psi_2\rangle &= c|0\rangle + d|1\rangle \end{align}\)

test3:Lax equation $ \dfrac{dL}{dt} = [L,M] $ Is it OK?

diplay mode test

aaaaaa \(\begin{equation} \dfrac{dL}{dt} = [L,M] \end{equation}\)

aaaaa \( x+y = z \) aaaaaa

test a display math without equaltion number:

\begin{align*} |\psi_1\rangle &= a|0\rangle + b|1\rangle
|\psi_2\rangle &= c|0\rangle + d|1\rangle \end{align*}

Is it O.K.?