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Apr
16
comment Time evolution of a wave packet from the time-independent Schroedinger equation
It does seem like your answer belongs to that linked question, since this one mentions the exponential only as a part of the problem... but actually, the answer for the special case here is trivial: your operator, applied to any function $f(x)$, is simply equivalent to $f(x+1)$ by the Taylor formula.
Apr
16
comment Time evolution of a wave packet from the time-independent Schroedinger equation
For the second part of the question, I assume you want a more general operator $\exp(\alpha \partial/\partial \theta)$, because without the additional parameter $a$ the expression would be pretty useless. One could see that part as a duplicate of Exponential of a Differential Operator. But if you could be more specific about the actual problem and your solution attempts, there may be a way to give a more specific answer, too.
Apr
16
comment Time evolution of a wave packet from the time-independent Schroedinger equation
(+1), but I think this part is a duplicate of Exponential of a Differential Operator
Apr
16
comment Time evolution of a wave packet from the time-independent Schroedinger equation
So then you want something like this, right? Complex valued 2+1D PDE Schroedinger equation, numerical method for NDSolve?
Apr
16
comment Time evolution of a wave packet from the time-independent Schroedinger equation
This is a time-independent problem, and your first link is to a time-dependent solution. They are very different problems. Also the link doesn't use the time-ordering operator (although it's mentioned), it just discretizes time. If you want to a time-dependent 2D problem, see this link.
Apr
16
comment Make continuous 3D tube out of 2D image (Mathematica 8)
Although you're asking for a solution in an older version, the topic is already covered elsewhere: How to extrude a 3D image from a binary 2D image. Answers that apply to version 8 can also be found there.
Apr
15
comment Why is the Spherical Bessel Function acting strangely at this point?
Maybe it's worth pointing to the documentation of SetPrecision. (+1).
Apr
15
awarded  Notable Question
Apr
14
comment Trying to model Heat flow trough different materials with NDsolve
@xzczd A new question then sounds like a better idea.
Apr
14
comment ArcTan[x,y] problems
What do you mean by "continuous in (0,2 π)"?
Apr
14
comment Input of ions and compounds in Wolfram's Mathematica
To add this functionality to Mathematica proper is probably not possible in the framework of a StackExchange answer.
Apr
14
comment Rule transformations for compositions of tensor products
What have you tried so far?
Apr
13
comment Solving Lagrangian (4 vars to solve for)
I get no solution at all from your code. Make sure you clear all variables, maybe quit and restart.
Apr
13
reviewed Close sparse array with list
Apr
13
comment sparse array with list
You can use the answer to the following question, of which this is a possible duplicate: Entering block matrices, general case doesn't work
Apr
12
comment Filling Piecewise Function leaves gaps
Try adding the option Exclusions -> None.
Apr
12
comment Alter evaluation order when applying scalar multiplication to function
There isn't really a better way, just alternatives with similar level of complexity: For example: g = (2#)&@*f uses Composition.
Apr
12
revised Showing steps for TrigExpand
added 759 characters in body
Apr
12
answered Showing steps for TrigExpand
Apr
11
answered Define a matrix depending on variable in Mathematica