sin(x), sin^{2}(x)
, with the following code:Code: Select all
\documentclass[a4paper]{article}\usepackage{pgfplots}\pgfplotsset{compat=1.14}\begin{document}\begin{tabular}{@{}c@{}}\begin{tikzpicture}\begin{axis}[width = \axisdefaultwidth,height = 0.3\textheight,xlabel = $x$,ylabel = $\psi(x)$,title = {Wavefunction in periodic potential.},xmin = 0, xmax = 10,ymin = -1.2, ymax = 1.2,xtick = {0, 2, ..., 10},xticklabels = {$0$, $a$, $2a$, $3a$, $4a$, $5a$},]\addplot [color = red, domain = 0 : 10, smooth] plot {cos(deg(\x*pi))}node [pos = 0.3, above right] {$cos(x)$};\addplot [color = blue, domain = 0 : 10, smooth] plot {sin(deg(\x*pi))}node [pos = 0.9, above left] {$sin(x)$};\addlegendentry{$\psi_{+}(x)$};\addlegendentry{$\psi_{-}(x)$};\end{axis}\end{tikzpicture}\\\begin{tikzpicture}\begin{axis}[width = \axisdefaultwidth,height = 0.3\textheight,xlabel = $x$,ylabel = $\rho(x)$,title = {Probability density in periodic potential.},xmin = 0, xmax = 10,ymin = 0, ymax = 2.5,xtick = {0, 2, ...,10},xticklabels = {$0$, $a$, $2a$, $3a$, $4a$, $5a$},]
$sin(x)$
and $cos(x)$
are not smooth and drifting on the y-axis. The $sin^{2}(x)$
and $cos^{2}(x)$
are horrendous.The intended result is to plot 5 peaks where the cos(x) has its maximums over a, 2a, 3a, etc. similar to the grey plots.
Why are the plots like this? What am I doing wrong?