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On the Quantum Mechanical Measurement Process

Authors
  • Naus, H. W. L.1
  • 1 Quantum Technology, TNO, Stieltjesweg 1, Delft, 2628 CK, The Netherlands , Delft (Netherlands)
Type
Published Article
Journal
Foundations of Physics
Publisher
Springer US
Publication Date
Feb 01, 2021
Volume
51
Issue
1
Identifiers
DOI: 10.1007/s10701-021-00404-5
Source
Springer Nature
Keywords
License
Yellow

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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