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The Quantum Mechanics SUSY Algebra: An Introductory Review
High Energy Physics - Theory · Submitted 2 May 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics.
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The abstract, sentence by sentence
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 Schr\"odinger picture of Nonrelativistic Quantum Mechanics. Applications are contemplated.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | method 0.97 | 0.75 | 0.05 | asserted 0.98 |
| s1 | The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics. | contribution 0.48 | 0.34 | 0.15 | asserted 1.00 |
| s2 | Applications are contemplated. | future work 0.53 | 0.21 | 0.06 | hedged possibility 0.51 |
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Original 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 Schr\"odinger picture of Nonrelativistic Quantum Mechanics. Applications are contemplated.
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References
How the literature uses it
3 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 2 papers
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$N=2$ Supersymmetric Quantum Mechanics (SQM), [ref] – [ref] being originally introduced as a tool for studying of the problem of supersymmetry breaking in more complicated supersymmetric field theories, has many interesting applications both in Physics and Mathematics (see for example [ref] – [ref] for reviews).
A Note on Shape Invariant Potentials for Discretized Hamiltonians · Introduction · 1.00
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One of the reasons is that SUSY QM is tightly related to other approaches used in the past to address this kind of systems, e.g., the factorization method, Darboux transformation and intertwining technique [ref] .
Trends in supersymmetric quantum mechanics · Introduction · 0.82
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