MORE ON SUPERSYMMETRIES OF THE SCHRÖDINGER EQUATION

Author:

BECKERS J.1,DEBERGH N.1,NIKITIN A.G.2

Affiliation:

1. Theoretical and Mathematical Physics, Institute of Physics, B.5, University of Liège, B-4000 Liege 1, Belgium

2. Institute of Mathematics, Academy of Sciences, Repin Street, 3, Kiev 4, Ukraine

Abstract

The supersymmetric Schrödinger equation is studied in connection with even and odd supersymmetries of arbitrary nth order. The invariance condition falls into four specific problems, each of them being finally characterized by a simplified system of equations which can be integrated for specific superpotentials. The more usual superinteractions are discussed and some recent results are extended up to the fourth order.

Publisher

World Scientific Pub Co Pte Lt

Subject

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

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Group classification of Schrödinger equations with position dependent mass;Journal of Physics A: Mathematical and Theoretical;2016-08-17

2. Laplace—Runge—Lentz vectors for arbitrary spin and arbitrary dimension;Journal of Physics: Conference Series;2015-06-11

3. Laplace–Runge–Lenz vector with spin in any dimension;Journal of Physics A: Mathematical and Theoretical;2014-08-29

4. Laplace-Runge-Lenz vector for arbitrary spin;Journal of Mathematical Physics;2013-12

5. Superintegrable systems with spin invariant with respect to the rotation group;Journal of Physics A: Mathematical and Theoretical;2013-06-12

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