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kd6ac
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Fourier transform of density matrix of cos(x+y)*cos(x-y)
I would like to know whether there exists a solution to the following integral,
\frac{1}{\pi} \int\limits_{-\infty}^{\infty} \cos(x+y)^\alpha \cos(x-y)^\alpha e^{2ipy}
The above expression is the Fourier transform of the off-diagonal elements of the density matrix,
\rho = \cos(x+y)^\alpha \cos(x-y)^\alpha
Any advice, or reference to books/articles, would be greatly appreciated.
I would like to know whether there exists a solution to the following integral,
\frac{1}{\pi} \int\limits_{-\infty}^{\infty} \cos(x+y)^\alpha \cos(x-y)^\alpha e^{2ipy}
The above expression is the Fourier transform of the off-diagonal elements of the density matrix,
\rho = \cos(x+y)^\alpha \cos(x-y)^\alpha
Any advice, or reference to books/articles, would be greatly appreciated.
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