Math Is Fun Forum

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    Can somebody please give a hand? This is the problem, I have these equations

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)

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!!!

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

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.