FRACTIONAL SUPERSYMMETRY AND QUANTUM-MECHANICS

被引：36

作者：

DURAND, S

机构：

[1] Department of Physics, McGill University, Montréal, Que. H3A 2T8

来源：

PHYSICS LETTERS B | 1993年 / 312卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0370-2693(93)90496-5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a set of quantum-mechanical Hamiltonians which can be written as the F(th) power of a conserved charge: H = Q(F) with [H, Q] = 0 and F = 2,3,.... This new construction, which we call fractional supersymmetric quantum mechanics, is realized in terms of paraGrassmann variables satisfying theta(F) = 0. Furthermore, in a pseudo-classical context, we describe fractional supersymmetry transformations as the F(th) roots of time translations, and provide an action invariant under such transformations.

引用

页码：115 / 120

页数：6

共 7 条

[1] FRACTIONAL SUPERSYMMETRIES IN PERTURBED COSET CFTS AND INTEGRABLE SOLITON THEORY [J].