Matrix Superpotential Linear in Variable Parameter

Abstract

The paper presents the classification of matrix valued superpotentials corresponding to shape invariant systems of Schrödinger equations. All inequivalent irreducible matrix superpotentials realized by matrices of arbitrary dimension with linear dependence on variable parameter are presented explicitly.

11 pages, stylistic corrections were added, some signs were corrected

References in corpus (2)

• Self-isospectrality, special supersymmetry, and their effect on the band structure
• Matrix superpotentials

Cited by in corpus (7)

• Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
• Superintegrable systems with spin invariant with respect to the rotation group
• Spectral Design for Matrix Hamiltonians: Different Methods of Constructing of a Matrix Intertwining Operator
• Minimal Realizations of Supersymmetry for Matrix Hamiltonians
• Applications of the potential algebras of the two-dimensional Dirac-like operators
• Polynomial supersymmetry for matrix Hamiltonians: proofs
• Three-dimensional Matrix Superpotentials