Physics – Quantum Physics
Scientific paper
2003-09-02
P.Werbos, Classical ODE and PDE Which Obey Quantum Dynamics, International Journal of Bifurcation and Chaos, Vol. 12, No. 10 (
Physics
Quantum Physics
19 pages. The pdf text contains the title and long abstract as published in IJBC, 10/2002. The IJBC original was next to a pap
Scientific paper
Quantum Field Theory (QFT) makes predictions by combining assumptions about (1) quantum dynamics, typically a Schrodinger or Liouville equation; (2) quantum measurement, usually via a collapse formalism. Here I define a "classical density matrix" rho to describe ensembles of states of ordinary second-order classical systems (ODE or PDE). I prove that the dynamics of the field observables, phi and pi, defined as operators over rho, obey precisely the usual Louiville equation for the same field operators in QFT, following Weinberg's treatment. I discuss implications in detail - particularly the implication that the difference between quantum computing and quantum mechanics versus classical systems lies mainly on the measurement side, not the dynamic side. But what if measurement itself were to be derived from dynamics and boundary conditions? An heretical realistic approach to building finite field theory is proposed, linked to the backwards time interpretation of quantum mechanics.
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