On the Quantum Mechanical Measurement Process

Foundations of Physics 51 (1):1-13 (2021)
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Abstract

The quantum mechanical measurement process is analyzed by means of an explicit generic model describing the interaction between object and measuring device. The solution of the Schrödinger equation for the whole system reflects the ‘collapse’ of the object wave function. A necessary condition is a sufficiently sharply peaked initial measurement device wave function, which is guaranteed in its classical limit. With this assumption, it is in particular proven that the off-diagonal elements of the object density matrix vanish. This study therefore shows the reduction of the object state to be a consequence of Hamiltonian evolution of the total system.

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References found in this work

On the interpretation of measurement in quantum theory.H. D. Zeh - 1970 - Foundations of Physics 1 (1):69-76.
Toward a quantum theory of observation.H. D. Zeh - 1973 - Foundations of Physics 3 (1):109-116.
Why decoherence has not solved the measurement problem: a response to P.W. Anderson.Stephen L. Adler - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):135-142.
The Principles of Quantum Mechanics.P. A. M. Dirac - 1936 - Revue de Métaphysique et de Morale 43 (2):5-5.
Why decoherence has not solved the measurement problem: a response to P.W. Anderson.Stephen L. Adler - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):135-142.

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