The positive radial momentum operator

Simple item page
dc.creatorMosley, Shaun N.
dc.date2003-09-24
dc.date.accessioned2026-07-07T04:30:35Z
dc.date.available2026-07-07T04:30:35Z
dc.descriptionThe Laplacian in spherical coordinates contains the squared radial momentum operator $ p_r^2 = - r^{-1} \partial_r^2 r $ which is Hermitian and positive. However as has been pointed out by various authors the ``radial momentum operator" $ - i r^{-1} \partial_r r $ is not Hermitian. The positive square root operator of $ p_r^2 $ is found and also its inverse. We discuss the relation of these operators with Fourier transforms, the Hilbert transform and fractional integral operators.
dc.description5 pages, plainTex
dc.identifierhttps://arxiv.org/abs/math-ph/0309055
dc.identifierhttp://arxiv.org/abs/math-ph/0309055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57512
dc.subjectMathematical Physics
dc.subject81Q10 (Primary) 47G30 (Secondary)
dc.titleThe positive radial momentum operator
dc.typetext

Files

Collections

arXiv