The Quantum Mechanics SUSY Algebra: An Introductory Review

Abstract

Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schrödinger picture of Nonrelativistic Quantum Mechanics. Applications are contemplated.

PUBLICATION: Monograph CBPF-03-01 (December/2001). Revtex, 49 pages, no figures. A new version with new sections will be submitted for publication

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Cited by in corpus (24)

• N=4 Supersymmetric Mechanics in Harmonic Superspace
• Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
• Supersymmetric Quantum Mechanics
• ABC of N=8, d=1 supermultiplets
• Gauging N=4 Supersymmetric Mechanics
• Hierarchy of N=8 Mechanics Models
• N=8 superconformal mechanics
• Trends in supersymmetric quantum mechanics
• N=8 supersymmetric mechanics on special Kähler manifolds
• N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Description of the evolution of inhomogeneities on a Dark Matter halo with the Vlasov equation
• Supersymmetric Kähler oscillator in a constant magnetic field
• Nonlinear supersymmetry as a hidden symmetry
• Quantum Oscillators in the Canonical Coherent States
• Contact structures and supersymmetric mechanics
• On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well
• Supersymmetric Classical Mechanics: Free Case
• A particle in equilibrium with a bath realizes worldline supersymmetry
• Supersymmetric Quantum Mechanics and Path Integrals
• Some Solvable Quantum Mechanical Models and Their Symmetries
• Normalization of the Ground State of the Supersymmetric Harmonic Oscillator
• On Matrix Superpotential and Three-Component Normal Modes
• SUSY QM via 2x2 Matrix Superpotential