Witten deformed exterior derivative and Bessel functions

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dc.creatorMekhfi, M.
dc.date2000-07-13
dc.date.accessioned2026-07-07T04:27:53Z
dc.date.available2026-07-07T04:27:53Z
dc.descriptionIn a recent paper we investigated the internal space of Bessel functions associated with their orders. We found a formula (new) unifying Bessel functions of integer and of real orders. In this paper we study the deformed exterior derivative system $H=d_λ$ on the puctured plane as a tentative to understand the origin of the formula and find that indeed similar formula occurs. This is no coincidence as we will demonstrate that generating functions of integer order Bessel functions and of real orders are respectively eigenstates of the usual exterior derivative and its deformation. As a direct consequence we rediscover the unifying formula and learn that the system linear in $d_λ$ is related to Bessel theory much as the system quadratic in ($d_λ+d_λ^{*}$) is related to Morse theory.
dc.description8 pages latex
dc.identifierhttps://arxiv.org/abs/math-ph/0007017
dc.identifierhttp://arxiv.org/abs/math-ph/0007017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56584
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.titleWitten deformed exterior derivative and Bessel functions
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