Published May 1994 | Version v1
Journal article Metadata-only

Supersymmetric quantum mechanics and the Korteweg--de Vries hierarchy

Creators

  • 1. Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637 (United States)

Description

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

Additional details

Publishing Information

Journal Title
Journal of Mathematical Physics (New York)
Journal Volume
35
Journal Issue
5
Journal Page Range
p. 2142-2156.
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
25053420
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CONSERVATION LAWS; INVERSE SCATTERING PROBLEM; KORTEWEG-DE VRIES EQUATION; POTENTIALS; QUANTUM MECHANICS; SOLITONS; SUPERSYMMETRY; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; SYMMETRY