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Introductory Physics Homework Help
Does Summation Over n from -∞ to +∞ in Quantum Mechanics Equal Ψ(x)?
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[QUOTE="knowwhatyoudontknow, post: 6357393, member: 678385"] [B]Homework Statement:[/B] Clarification of Summation index [B]Relevant Equations:[/B] see below I have a (trivial) question regarding summation notation in Quantum mechanics. Does ∑c[SUB]n[/SUB]exp(ik[SUB]n[/SUB]x) = Ψ(x) imply that n ranges from -∞ to +∞ (i.e. all possible combinations of n)? i.e. [SUP]n[/SUP] [SUB]∞[/SUB] ∑exp(ik[SUB]n[/SUB]x) [SUP]-∞[/SUP] 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[SUB]N[/SUB]x) -> sinx/cosx. Just want to be absolutely sure. Thanks. [/QUOTE]
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Introductory Physics Homework Help
Does Summation Over n from -∞ to +∞ in Quantum Mechanics Equal Ψ(x)?
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