$\cN$-FOLD SUPERSYMMETRY IN QUANTUM MECHANICAL MATRIX MODELS-Reference-Cited by-同舟云学术

$\cN$-FOLD SUPERSYMMETRY IN QUANTUM MECHANICAL MATRIX MODELS

Published:2012-03-21 Issue:09 Volume:27 Page:1250051
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

TANAKA TOSHIAKI¹

Affiliation:

1. Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan

Abstract

We formulate [Formula: see text]-fold supersymmetry in quantum mechanical matrix models. As an example, we construct general two-by-two Hermitian matrix two-fold supersymmetric quantum mechanical systems. We find that there are two inequivalent such systems, both of which are characterized by two arbitrary scalar functions, and one of which does not reduce to the scalar system. The obtained systems are all weakly quasi-solvable.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732312500514

Reference30 articles.

1. Coupled-channel supersymmetric quantum mechanics

2. Shape-invariant potentials for systems with multi-component wave functions

3. Matrix Hamiltonians: SUSY approach to hidden symmetries

4. SUSY QM and solitons from two coupled scalar fields in two dimensions

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