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Supersymmetric Quantum Mechanics

Name: Supersymmetric Quantum Mechanics
Keywords: High Energy Physics - Theory, Quantum Physics, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), Mathematical Physics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2010Embargo end date: 01 Jan 2009Publisher:AIPJournal:AIP Conference Proceedings (issn: 0094-243X,

Authors: J. David; C. Fernández; Miguel Garcia Rocha; Ricardo Lopez Fernandez; Luis F. Rojas Ochoa; Gabino Torres Vega;

doi: 10.1063/1.3507423 , 10.48550/arxiv.0910.0192

arXiv: http://arxiv.org/abs/0910.0192

Supersymmetric Quantum Mechanics

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Abstract

Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new potentials with known spectra departing from an initial solvable one. In these lecture notes we will present some general formulas concerning SUSY QM of first and second order for one-dimensional arbitrary systems, and we will illustrate the method through the trigonometric Poschl-Teller potentials. Some intrinsically related subjects, as the algebraic structure inherited by the new Hamiltonians and the corresponding coherent states will be analyzed. The technique will be as well implemented for periodic potentials, for which the corresponding spectrum is composed of allowed bands separated by energy gaps.

36 pages, 8 figures, lectures delivered at the Advanced Summer School 2009, Cinvestav (Mexico City), July 2009

Keywords

High Energy Physics - Theory, Quantum Physics, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), Mathematical Physics

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
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