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Re: Summation in Mathematica
*To*: mathgroup at smc.vnet.net
*Subject*: [mg130611] Re: Summation in Mathematica
*From*: Roland Franzius <roland.franzius at uos.de>
*Date*: Fri, 26 Apr 2013 04:24:36 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
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*References*: <kl8e4n$on7$1@smc.vnet.net>
Am 24.04.2013 13:02, schrieb Ben Blomberg:
> Hello All,
>
> I am trying to understand a piece of code I found but I am stuck on this
> summation. This is part of a larger do loop over n.
>
> UnderoverscriptBox[\(\[Sum]\), \(m = \(-10\)\),
> \(10\)]\(\(eigenfunctionsort[n, j]\)[\([m + 11]\)]
> Exp[I*2*\[Pi]*m*x/dp]\)\),{j,1,21}]
>
> What I mainly do not understand is what is happening with the [m+11]. Is
> that being multiplied with eigen function sort with each step in the sum,
> or is that simply adding 11 to m at each step in the sum?
The piece of code should be read in InputForm
Sum[eigenfunctionsort[n, j][[m + 1]] * Exp[2 *\[Pi] *I *m *x /dp],
{m, -10, 10}]
In FullForm, eigenfunctionsort[n, j][[m + 1]] means
Part[eigenfunctionsort[n, j],m+1],
the m+1-component of the vector of eigenfunctions probably with quantum
numbers n and j.
--
Roland Franzius
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