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Mathematics Homework Solutions
#25944
Fourier transform method
Solve the Schrodinger equation with different potentials using the Fourier transform.
Fourier transform is a powerful tool when used to solve ordinary and partial differential equations. The solution shows step by step how to go from the initial equation, utilizing the Fourier transform, the inverse transform and complex contour integration to reach a solution (in an integral form). The solution contains 4 pages with full derivations.
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- Green's function for a differential equation - Problem attached.
- Complex/Fourier - Use Fourier transform to solve the following differential equation: g" + 2g' + 5g = delta(x) Where delta is the dirac delta function (impulse).
- D-contour intervals - I need help on how to work out the solution to a function using the 'D-contour' (see attached file).
- Complex integrals - (1) let f:C----R be an analytic function such that f(1)=1. Find the value of f(3) (2) Evaluate the integral over & of dz/ z^2 -1 where & is the circle |z-i|=2 (3)Evaluate the integral over & of ...
- Contour integration problems - Please see the attached file.
