Abstract
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 θ 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
