Comment on “from N=2 supersymmetry to quantum deformation”☆
TL;DR: In this paper, the authors considered the possibility of reducing the N = 2 deformed supersymmetric Hamiltonian to the standard form and showed that it is possible to do so.
About: This article is published in Physics Letters B.The article was published on 1993-07-08. It has received 3 citations till now. The article focuses on the topics: Supersymmetry & Hamiltonian (quantum mechanics).
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TL;DR: The progress of the factorization method since the 1935 work of Dirac is briefly reviewed in this article, where the authors suggest that factorization seems an autonomous "driving force", offering substantial support to the present day Darboux and Backlund approaches.
Abstract: The progress of the factorization method since the 1935 work of Dirac is briefly reviewed. Though linked with older mathematical theories the factorization seems an autonomous 'driving force', offering substantial support to the present day Darboux and Backlund approaches.
241 citations
Cites background from "Comment on “from N=2 supersymmetry ..."
...The subject was independently addressed in a sequence of studies of the second- and higher order Darboux transformations [131–140] (see also the ample research reported in [53, 141, 142] and the literature quoted there....
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Technische Universität München1, Dresden University of Technology2, University of Tübingen3, Kurchatov Institute4, Russian Academy of Sciences5, University of Zurich6, Max Planck Society7, University of Milano-Bicocca8, University of Padua9, Joint Institute for Nuclear Research10, Jagiellonian University11, Shanghai Jiao Tong University12, University of Milan13
TL;DR: The first 5.04 kg yr of data collected in Phase I of the experiment have been analyzed to measure the half-life of the neutrino-accompanied double beta decay of 76Ge as mentioned in this paper.
Abstract: The primary goal of the GERmanium Detector Array (GERDA) experiment at the Laboratori Nazionali del Gran Sasso of INFN is the search for the neutrinoless double beta decay of 76Ge. High-purity germanium detectors made from material enriched in 76Ge are operated directly immersed in liquid argon, allowing for a substantial reduction of the background with respect to predecessor experiments. The first 5.04 kg yr of data collected in Phase I of the experiment have been analyzed to measure the half-life of the neutrino-accompanied double beta decay of 76Ge. The observed spectrum in the energy range between 600 and 1800 keV is dominated by the double beta decay of 76Ge. The half-life extracted from GERDA data is T2ν1/2 = (1.84+0.14−0.10) × 1021 yr.
69 citations
TL;DR: In this paper, the q-deformed quantum harmonic oscillators in the supersymmetric quantum systems are introduced and their properties are investigated in detail, and it is shown that q-supercoherent states are completeness.
Abstract: In this paper, the q-deformed quantum harmonic oscillators in the supersymmetric quantum systems are introduced. The q-supercoherent states associated with the q-deformed supersymmetric quantum harmonic oscillators are constructed explicitly, and their properties are investigated in detail. It is shown that the q-supercoherent states are completeness. The uncertainty relations for q-supercoherent states are discussed as well.
1 citations
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TL;DR: In this article, general conditions for dynamical supersymmetry breaking are discussed and examples are given (in 0 + 1 and 2 + 1 dimensions) in which such a program in four dimensions is possible.
3,270 citations
TL;DR: In this paper, a pedagogical review on supersymmetry in quantum mechanis is presented which provides a comprehensive coverage of the subject and the key ingredients on the quantization of the systems with anticommuting variables are discussed.
Abstract: A pedagogical review on supersymmetry in quantum mechanis is presented which provides a comprehensive coverage of the subject. First, the key ingredients on the quantization of the systems with anticommuting variables are discussed. The supersymmetric Hamiltotian in quantum mechanics is then constructed by emphasizing the role of partner potentials and the superpotentials. We also make explicit the mathematical formulation of the Hamiltonian by considering in detail the N=1 and N=2 supersymmetric (quantum) mechanics. Supersymmetry is then discussed in the context of one-dimensional problems and the importance of the factorization method is highlighted. We treat in detail the technique of constructing a hierarchy of Hamiltonians employing the so-called ‘shape-invariance’ of potentials. To make transparent the relationship between supersymmetry and solvable potentials, we also solve several examples. We then go over to the formulation of supersymmetry in radial problems, paying a special attention to the Co...
131 citations
TL;DR: A remarkable link between N = 2-supersymmetry and quantum deformations is pointed out in this article, where a simple application to harmonic oscillator-like systems but they can be applied to arbitrary superpotentials.
4 citations