Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics

Abstract

A connection between fractional supersymmetric quantum mechanics and ordinary supersymmetric quantum mechanics is established in this Letter.

Paper accepted for publication in Physics Letters A

References in corpus (8)

• Paragrassmann Analysis and Quantum Groups
• Cyclic Shape Invariant Potentials
• Fractional Supersymmetry and Fth-Roots of Representations
• Fractional Supersymmetry and Quantum Mechanics
• Fractional Superspace Formulation of Generalized Super-Virasoro Algebras
• Fractional Superspace Formulation of Generalized Mechanics
• Quantum Affine Symmetry as Generalized Supersymmetry
• Paragrassmann Extensions of the Virasoro Algebra

Cited by in corpus (23)

• Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems
• Fractional supersymmetry and hierarchy of shape invariant potentials
• Exactly solvable systems and the Quantum Hamilton-Jacobi formalism
• q-Fermionic Numbers and Their Roles in Some Physical Problems
• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
• Representations and Properties of Generalized $A_r$ Statistics, Coherent States and Robertson Uncertainty Relations
• SU(2) and SU(1,1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and Discrete Fourier Transforms
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order
• SU(2) nonstandard bases: the case of mutually unbiased bases
• Shape invariance and the exactness of quantum Hamilton-Jacobi formalism
• Miscellaneous Applications of Quons
• Generalized fermion algebra
• Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states
• Algebraic Shape Invariant Potentials as the Generalized Deformed Oscillator
• Fractional Particle and Sigma Model
• Bases for spin systems and qudits from angular momentum theory
• Entangled Phase States via Quantum Beam Splitter
• On the Hamilton-Jacobi method in classical and quantum nonconservative systems
• Chiral bosons on Bargmann space associated with A${}_r$ Statistics
• Representations and Properties of Generalized $A_r$ Statistics
• Two-step Shape Invariance in the Framework of N-fold Supersymmetry
• Representations of Generalized a${}_r$ Statistics and Eigenstates of Jacobson Generators
• Fractional Supersymmetry as a Superposition of Ordinary Supersymmetry