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#1 2009-10-05 20:05:02

dannyv
Member
Registered: 2007-09-20
Posts: 34

Please help with these calculations

I've been fighting with these over the last weeks and cannot solve it yet dunno   Can somebody please give a hand? This is the problem, I have these equations

equations1.jpg


where t>0 is the time,
n is in Z (the integers),

is the angle in
such that
,
and


then apply to (4) and (5) the inverse quantum fourier transform defined by

(note that there is a minus sign in the exponential function of the quantum inverse transform)

and obtain equation (6) and (7)
equations2.jpg

My problem is that I cannot write equation (4,5) in the form of (6,7). I've sent an email to the author and he replied

"The equations (6,7) follow from (4,5) by making the substitution k' = \pi - k in the second term, and noticing that the integrand is periodic with period 2\pi"

I trying this but its not working, can someone give me a hand with this??

Thanks!!!wave

Last edited by dannyv (2009-10-05 20:27:42)

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#2 2009-10-09 01:34:04

dannyv
Member
Registered: 2007-09-20
Posts: 34

Re: Please help with these calculations

hard right? I just asked my supervisor and he told me that he will look for the answer. Let's see.

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