This is more of a math question I suppose, but its in the context of calculating the second order energy shift in the ground state energy for a non relativistic collection of electrons.
We end up showing that the energy shift has a finite and divergent piece. The divergent bit is proportional...
Homework Statement
Obtain the analytic expression for the N-channel T-matrix assuming a separable potential.
Hint: assume that T is proportional to V. Specialise your answer to N=1 and perform the required integral to get an explicit form for T, assume the given form for g(k)...
Yeah, that was the TeX problem. Thanks :)
Also, it might be of interest to know that:
\left| r_{i,j} \right| = min( \left| x_i - x_j \right|, L - \left| x_i - x_j \right| )
The problem is with calculating the force of a particle by another particle while both particles lie on a torus. By this I mean, if particle i and j are in a box (LxL) and particle i is on the left edge of the box and particle j is on the right edge of the box, the distance used in the force...