How can I get a list of desired order

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I have the two variables L,m such that
L=,0 => m=0
L=1 =>m=-1,0,1
L=2 =>m = -2,-1,0,1,2
(for each value of L, m is from -L to +L with increment 1)

now I want to generate a list with the order like
list= {{0,0},{1,0},{2,0},{1,-1},{2,-1},{1,1},{2,1},{2,-2},{2,2}}//
//all values of L for m=0
all values of L for m=-1
all values of L for m=1
all values of L for m=-2
all values of L for m=2
What should be the code for this list? kindly help and sorry for mistake in the text

Posted 16-Mar-14 12:25pm

Member 10674890

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Comments

Philippe Mori 16-Mar-14 19:53pm

The explanation could be a bit more clear... With all those 0, 1 and 2, it is a bit hard to figure out from were the numbers come from...

Also, you don't specify the language. The easiest way is to use 3 nested loops. One for absolute value of m (from 0 to Lmax inclusively), a second loop for the sign (skip negative case for 0) and a third loop for each value of L. That third loop would start at the index given by the current index of outer loop.

Member 10674890 17-Mar-14 1:57am

for a given value of n (n>=0)
L=0,1,2,.......n-1
m=-L, -L+1,-L+2,........L //(2L +1 values of m)
(For n=3 we have L=0,1,2 and m=-2,-1,0,1,2)
Also I am using mathematica.
I hope this time it may better

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