Supersymmetric quantum mechanics and the Korteweg--de Vries hierarchy

Journal Article · Sun May 01 00:00:00 EDT 1994 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.530543· OSTI ID:5019502

Grant, A K; Rosner, J L ^[1]

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

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.

• DOE Contract Number: FG02-90ER40560
• OSTI ID: 5019502
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 35:5; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KORTEWEG-DE VRIES EQUATION
SUPERSYMMETRY
CONSERVATION LAWS
INVERSE SCATTERING PROBLEM
POTENTIALS
QUANTUM MECHANICS
SOLITONS
TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SYMMETRY
662120* - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)