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Given the wave function $\Psi\left ( x,t \right ) = \psi\left ( x \right )T\left ( t \right )$ with the spatial component of the wavefunction $\psi(x) = \psi_{0}e^{-ikx}$, I tried

Manipulate[Plot[B Exp[-I k x], {x, 0, 10}], {B, -10, 10}, {k, 0, 10}]

which gives

not giving me what I'm looking for

That is not what I'm looking for. Trying

Plot[E^(-I x), {x, 0, 10}]

gives

weird

which I find just plain weird.

Am I using the wrong function or is this an inherent 'user' problem?

How do I get the right plot? In any case, I'm trying to plot the left moving wave of the spatial component of the Schrödinger's equation. I do not know how it looks like but, intuitively, it ought to resembles decays.

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Your wave function has real and imaginary parts, so can plot them separately, 

wf[x_] := E^(-I x);
Plot[{Re[wf[x]], Im[wf[x]]}, {x, 0, 10}, 
 PlotLegends -> {"Re Ψ", "Im Ψ"}]

enter image description here

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  • $\begingroup$ The link you provided looks promising. Possible to leave your post as it is? Would like to understand the codes and extrapolate. $\endgroup$
    – Physkid
    Commented Dec 11, 2015 at 13:31
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    $\begingroup$ Definitely - I like to answer when possible even while marking as a duplicate (I feed off the imaginary internet points I get when you click the check mark next to my answer). I can post the code for the Manipulate but you can probably figure that out. $\endgroup$
    – Jason B.
    Commented Dec 11, 2015 at 13:34
  • $\begingroup$ @Physkid, just plotting a wave function like this isn't too interesting, the cool stuff happens when you have superpositions and interference effects. See this post for an example of interference effects in plots. $\endgroup$
    – Jason B.
    Commented Dec 11, 2015 at 13:37
  • $\begingroup$ Definitely speaking to a computational physicists on the other end of the screen. Yes, a plot like the above isn't interests. I will be catching up on the links. $\endgroup$
    – Physkid
    Commented Dec 11, 2015 at 13:44

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