Part I. Invited Papers Dedicated To Peter Mittelstaedt

Foundations of Physics

, Volume 19, Issue 7, pp 905-922

Coupled physical systems

  • David J. FoulisAffiliated withDepartment of Mathematics and Statistics, University of Massachusetts

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The purpose of this paper is to sketch an attack on the general problem of representing a composite physical system in terms of its constituent parts. For quantum-mechanical systems, this is traditionally accomplished by forming either direct sums or tensor products of the Hilbert spaces corresponding to the component systems. Here, a more general mathematical construction is given which includes the standard quantum-mechanical formalism as a special case.