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May
6
reviewed Close Quantile-quantile plot
May
6
reviewed Close What particular situation do we have to use RuleDelayed after replacement?
May
6
reviewed Close Why does DSolve not give the expected analytical solution for a system of DAE?
May
5
comment Animated Wave propagation using split operator method
As I said, it's an arbitrary choice, you can change it to whatever you need. There's nothing more to it.
May
5
comment Animated Wave propagation using split operator method
You can put in any parameters you like. It depends on the physical constants of your problem, such as Fermi velocity etc. But choosing the numerical values of the constants in the equation is not a Mathematica issue.
May
5
comment Solving a vector equation
@Guesswhoitis. That's what I did in the answer of which this is a duplicate...
May
5
awarded  linear-algebra
May
5
revised General function for the expansion of a polynomial of operators
Usage added
May
5
revised General function for the expansion of a polynomial of operators
Added explanations.
May
5
revised General function for the expansion of a polynomial of operators
Added explanations.
May
5
revised General function for the expansion of a polynomial of operators
Forgot to add zeroth order term
May
4
comment Animated Wave propagation using split operator method
Yes, you're right - that was intentional. Such prefactors aren't important in linear differential equations, but of course they do affect your normalization integral. Since the question asked for a plot, I left out the prefactor because it doesn't affect the displayed shape.
May
4
comment Animated Wave propagation using split operator method
You can't make a plot of that because there are no more variables to vary when you integrate. Also, the integration has to be within the NDSolve domain.
May
4
revised General function for the expansion of a polynomial of operators
added explanation
May
4
answered General function for the expansion of a polynomial of operators
May
4
comment Animated Wave propagation using split operator method
The 2 is added and subtracted only to offset the 3D plots vertically, so you can see them better. You can change the plot to Plot3D[ Abs[\[CapitalPsi]1[x,y,t]]^2+Abs[\[CapitalPsi]2[x,y,t]]^2, ... and that will produce the modulus squared. For more information on the styling, also have a look at the options of the Plot3D command.
May
4
answered Animated Wave propagation using split operator method
May
4
reviewed Close copy and paste legend with plot
May
4
comment Animated Wave propagation using split operator method
The formulation of the problem is incorrect. The matrices are infinite-dimensional either in real or Fourier space and need truncation. You can't get the time evolution of a spinor with position dependence by just using 2D matrix multiplication. The main issue here is unrelated to Mathematica.
May
3
answered How to plot a finite number of vectors?