Applying this operation to a complex exponential gives a shifted delta function, and vice versa, while applying it to a Gaussian gives back another Gaussian.
The off-diagonal coupling elements of the nearly free electron model are found by performing this computation on the screened potential. In neutron scattering, the dynamic structure factor results from performing it on the two-point correlation function. For a real-valued input, this operation's output function is Hermitian, while for an input that is real and even, the output is also real. The integral of this operation's output squared equals the integral of the original function squared according to (*) Plancherel's theorem, which establishes this operation's unitarity. Applying this operation to a complex exponential gives a shifted delta function, and vice versa, while applying it to a Gaussian gives back another Gaussian. This operation integrates a time-dependent function against the exponential of "negative i omega t." For 10 points, name this mathematical operation that changes a time-domain signal into a frequency-domain signal.
The off-diagonal coupling elements of the nearly free electron model are found by performing this computation on the screened potential.
Fourier transform [or Fourier series]