Quantum Schroedinger bridges

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dc.creatorPavon, Michele
dc.date2003-06-06
dc.date.accessioned2026-07-07T06:07:04Z
dc.date.available2026-07-07T06:07:04Z
dc.descriptionElaborating on M. Pavon, J.Math. Phys. 40 (1999), 5565-5577, we develop a simplified version of a variational principle within Nelson stochastic mechanics that produces the von Neumann wave packet reduction after a position measurement. This stochastic control problem parallels, with a different kinematics, the problem of the Schroedinger bridge. This gives a profound meaning to what was observed by Schroedinger in 1931 concerning Schroedinger bridges: "Merkwuerdige Analogien zur Quantenmechanik, die mir sehr des Hindenkens wert erscheinen".
dc.description15 pages, dedicated to Anders Lindquist on the occasion of his 60th birthday
dc.identifierhttps://arxiv.org/abs/quant-ph/0306052
dc.identifierhttp://arxiv.org/abs/quant-ph/0306052
dc.identifierin Directions in Mathematical Systems Theory and Optimization, A. Rantzer and C. I. Byrnes Eds., Springer-Verlag, 2002, 227-238. Theory and Optimization, A. Rantzer and C. I. Byrnes Eds., Springer-Verlag, 2002, 227-238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91160
dc.subjectQuantum Physics
dc.titleQuantum Schroedinger bridges
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