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PreprintarXiv licencearXiv

Measuring a Quantum System Thanks to the Correspondence Principle

  • Marco Falconi
  • Clotilde Fermanian Kammerer
  • Raphaël Gautier
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Abstract

The measurement problem is one of the longest-standing open problems in quantum mechanics: noncommutative observables are incompatible with the Born and collapse rules, prescribing that the outcome of their observation is distributed according to the laws of classical probability. In this paper, we solve the measurement problem through the correspondence principle with a semiclassical approach. We prove that Born rule, the wavefunction collapse, and macroscopic observability all hold true, approximately, but with arbitrary precision, whenever a measuring device (in a semiclassical state) is coupled adiabatically to the observed system. Our measurement device is based on the propagation properties of semiclassical bosonic coherent states through an adiabatic two level system on scale times of the order of the Ehrenfest time.

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Cite

BibTeXRIS
BibTeX
@misc{falconi2026measuring,
  title = {{Measuring a Quantum System Thanks to the Correspondence Principle}},
  author = {Marco Falconi and Clotilde Fermanian Kammerer and Raphaël Gautier},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.21211},
  eprint = {2606.21211},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.21211},
}
RIS
TY  - UNPB
TI  - Measuring a Quantum System Thanks to the Correspondence Principle
AU  - Marco Falconi
AU  - Clotilde Fermanian Kammerer
AU  - Raphaël Gautier
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2606.21211
UR  - https://arxiv.org/abs/2606.21211
AB  - The measurement problem is one of the longest-standing open problems in quantum mechanics: noncommutative observables are incompatible with the Born and collapse rules, prescribing that the outcome of their observation is distributed according to the laws of classical probability. In this paper, we solve the measurement problem through the correspondence principle with a semiclassical approach. We prove that Born rule, the wavefunction collapse, and macroscopic observability all hold true, approximately, but with arbitrary precision, whenever a measuring device (in a semiclassical state) is coupled adiabatically to the observed system. Our measurement device is based on the propagation properties of semiclassical bosonic coherent states through an adiabatic two level system on scale times of the order of the Ehrenfest time.
ER  -