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Title
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New results on the radially deformed dirac operator
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Author
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Abstract
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| In recent work a deformation of the classical Dirac operator in was introduced. The key idea behind this deformation is a family of new realizations of the Lie superalgebra , by means of a so-called radially deformed Dirac operator depending on a deformation parameter c, such that for the classical Dirac operator is reobtained. In this paper, we investigate various properties of this deformation. We first determine the conformal structure of and obtain a version of Stokes' theorem. Subsequently we derive an explicit form for the kernel of the associated Fourier transform in terms of trigonometric functions. |
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Language
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English
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Source (journal)
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Complex analysis and operator theory. - Basel, 2007, currens
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Publication
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Basel
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Birkhäuser Verlag AG
,
2017
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ISSN
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1661-8254
[print]
1661-8262
[online]
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DOI
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10.1007/S11785-016-0558-Z
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Volume/pages
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11
:6
(2017)
, p. 1283-1307
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ISI
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000406230000002
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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