A rigorous path-integral formula for quantum-spin dynamics via planar Brownian motion

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dc.creatorBodmann, Bernhard
dc.creatorLeschke, Hajo
dc.creatorWarzel, Simone
dc.date1998-10-23
dc.date.accessioned2026-07-07T06:15:45Z
dc.date.available2026-07-07T06:15:45Z
dc.descriptionAdapting ideas of Daubechies and Klauder we derive a continuum path-integral formula for the time evolution generated by a spin Hamiltonian. For this purpose we identify the finite-dimensional spin Hilbert space with the ground-state eigenspace of a suitable Schödinger operator on $L^2({\mathbb{R}}^2)$, the Hilbert space of square-integrable functions on the Euclidean plane ${\mathbb{R}}^2$, and employ the Feynman-Kac-Itô formula.
dc.description4 pages, contribution for the Florence path-integral conference proceedings
dc.identifierhttps://arxiv.org/abs/quant-ph/9810069
dc.identifierhttp://arxiv.org/abs/quant-ph/9810069
dc.identifierpp. 173-176 in: Path Integrals from peV to TeV: 50 Years after Feynman's Paper, Editors: R. Casalbuoni, R.Giachetti, V.Tognetti, R. Vaia, P.Verrucchi, World Scientific, Singapore, 1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93856
dc.subjectQuantum Physics
dc.titleA rigorous path-integral formula for quantum-spin dynamics via planar Brownian motion
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