Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy

Details Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy

1993-04-27

arxiv.org/abs/hep-th/9304139v1

J.Math.Phys. 35 (1994) 2142-2156

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, EFI 93/20

Scientific paper

10.1063/1.530543

The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws. It is shown that supersymmetric quantum mechanics aids in the derivation of the conservation laws, and gives some insight into the Miura transformation that converts the KdV equation into the modified KdV equation. The construction of the $\tau$-function by means of supersymmetric quantum mechanics is discussed.

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