Quantum Theory / Particle Physics
December 2, 2011
Schrödinger Equation, Multi-Fermion, Many-Body, Green's Function, Functional Integral
A treatment of the multi-fermion Schrödinger Equation is presented as an integral formulation utilizing the Green’s Function corresponding to the multidimensional Laplacian operator. It will be shown also how the anti-symmetry of a large multi-fermion wave function can actually simplify the solution to the problem when it is expressed in an integral form, both from the stand point of numerically integrating the integral form of the Schrödinger equation and in relation to the first order Taylor expansion of the wave function about any point in the Configuration Space representing the many-body system.