Simple supersymmetric methods in neutron diffusion

Details Simple supersymmetric methods in neutron diffusion Simple supersymmetric methods in neutron diffusion

1996-12-04

arxiv.org/abs/physics/9612003v5

Nuovo Cimento B 114 (January 1999) 115-119

Physics

Mathematical Physics

3 pp, twocolumn, 3 figures, v5

Scientific paper

We present the supersymmetric Witten and double Darboux (strictly isospectral) constructions as applied to the diffusion of thermal neutrons from an infinitely long line source. While the Witten construction is just a mathematical scheme, the double Darboux method introduces a one-parameter family of diffusion solutions which are strictly isospectral to the stationary solution. They correspond to a Darboux-transformed diffusion length which is flux dependent

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