- #1

knowwhatyoudontknow

- 27

- 5

- Homework Statement:
- Clarification of Summation index

- Relevant Equations:
- see below

I have a (trivial) question regarding summation notation in Quantum mechanics. Does

∑c

∑exp(ik

I believe it does to be consistent with the Fourier series in terms of complex exponentials.

n = 1 to +∞ would then be used when exp(ik

Just want to be absolutely sure. Thanks.

∑c

_{n}exp(ik_{n}x) = Ψ(x) imply that n ranges from -∞ to +∞ (i.e. all possible combinations of n)? i.e.^{n}_{∞}∑exp(ik

_{n}x)^{-∞}I believe it does to be consistent with the Fourier series in terms of complex exponentials.

n = 1 to +∞ would then be used when exp(ik

_{N}x) -> sinx/cosx.Just want to be absolutely sure. Thanks.