Can the Quantum Measurement Problem be resolved within the framework of Schroedinger Dynamics?

dc.creatorSewell, Geoffrey
dc.date2005-12-13
dc.date.accessioned2026-07-07T06:56:35Z
dc.date.available2026-07-07T06:56:35Z
dc.descriptionWe formulate the dynamics of the generic quantum system S_{c} comprising a microsystem S and a macroscopic measuring instrument I, whose pointer positions are represented by orthogonal subspaces of the Hilbert space of its pure states. These subspaces are simultaneous eigenspaces of a set of coarse grained intercommuting macroscopic observables and, most crucially, their dimensionalities are astronomically large, increasing exponentially with the number, N, of particles comprising I. We formulate conditions under which the conservative dynamics of S_{c} yields both a reduction of the wave packet describing the state of S and a one-to-one correspondence, following a measurement, between the pointer position of I and the resultant eigenstate of S; and we show that these conditions are fulfilled, up to utterly negligible corrections that decrease exponentially with N, by the finite version of the Coleman-Hepp model.
dc.description15 pages, based on a lecture at the J. T. Lewis Memorial Conference held in Dublin, June 14-17, 2005. To be published in "Markov Processes and Related Fields"
dc.identifierhttps://arxiv.org/abs/quant-ph/0512098
dc.identifierhttp://arxiv.org/abs/quant-ph/0512098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106695
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleCan the Quantum Measurement Problem be resolved within the framework of Schroedinger Dynamics?
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