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

References in corpus (1)

• Group theoretical approach to the intertwined Hamiltonians

Cited by in corpus (6)

• Hierarchy of N=8 Mechanics Models
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Supersymmetric Kähler oscillator in a constant magnetic field
• Quantum Oscillators in the Canonical Coherent States
• SUSY QM via 2x2 Matrix Superpotential
• On Matrix Superpotential and Three-Component Normal Modes