Portal de Periódicos da CAPES

Supersymmetric quantum mechanics and the Korteweg–de Vries hierarchy

1994; American Institute of Physics; Volume: 35; Issue: 5 Linguagem: Inglês

10.1063/1.530543

1527-2427

Aaron K. Grant, Jonathan L. Rosner,

Algebraic structures and combinatorial models

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 τ function by means of supersymmetric quantum mechanics is discussed.