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A Green’s Function Application to the Multi Fermion Schrödinger Equation

Author:

McAlea, Eamon

Category:

Research Papers

Sub-Category:

Quantum Theory / Particle Physics

Language:

English

Date Published:

December 2, 2011

File:

/Research Papers-Quantum Theory / Particle Physics/Download/3808

Downloads:

1488

Keywords:

Schrödinger Equation, Multi-Fermion, Many-Body, Green's Function, Functional Integral

Abstract:

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.

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