The Green's Function of the Supersymmetric D=1 Heat Equation

2004/01/28 by S. Andrea, Andrea, S., A. Restuccia +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0401216

16 pages on Latex

arxiv created 2004/01/28 · openalex publication_date 2004/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A rigorous treatment is given of the Green's function of the N=1 supersymmetric heat equation in one spatial dimension with a distribution initial value. The asymptotic expansion of the supersymmetric Green's function as t tends to 0+ is also derived. The coefficients of the expansion generate all the members of the supersymmetric N=1 KdV hierarchy.

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