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Title: Search for violations of quantum mechanics

Abstract

The treatment of quantum effects in gravitational fields indicates that pure states may evolve into mixed states, and Hawking has proposed modification of the axioms of field theory which incorporate the corresponding violation of quantum mechanics. In this study we propose a modified hamiltonian equation of motion for density matrices and use it to interpret upper bounds on the violation of quantum mechanics in different phenomenological situations. We apply our formalism to the K0-K0 system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 10-21 GeV on contributions to the single particle “hamiltonian” which violate quantum mechanical coherence. We discuss how these limits might be improved in the future, and consider the relative significance of other successful tests of quantum mechanics. Finally, an appendix contains model estimates of the magnitude of effects violating quantum mechanics.

Authors:
 [1];  [1];  [2];  [2]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Sponsoring Org.:
USDOE
OSTI Identifier:
1432461
Report Number(s):
SLAC-PUB-3134
Journal ID: ISSN 0550-3213; PII: 0550321384900531
Grant/Contract Number:  
AC03-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 241; Journal Issue: 2; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Search for violations of quantum mechanics. United States: N. p., 1984. Web. doi:10.1016/0550-3213(84)90053-1.
Ellis, John, Hagelin, John S., Nanopoulos, D. V., & Srednicki, M. Search for violations of quantum mechanics. United States. https://doi.org/10.1016/0550-3213(84)90053-1
Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Sun . "Search for violations of quantum mechanics". United States. https://doi.org/10.1016/0550-3213(84)90053-1. https://www.osti.gov/servlets/purl/1432461.
@article{osti_1432461,
title = {Search for violations of quantum mechanics},
author = {Ellis, John and Hagelin, John S. and Nanopoulos, D. V. and Srednicki, M.},
abstractNote = {The treatment of quantum effects in gravitational fields indicates that pure states may evolve into mixed states, and Hawking has proposed modification of the axioms of field theory which incorporate the corresponding violation of quantum mechanics. In this study we propose a modified hamiltonian equation of motion for density matrices and use it to interpret upper bounds on the violation of quantum mechanics in different phenomenological situations. We apply our formalism to the K0-K0 system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 10-21 GeV on contributions to the single particle “hamiltonian” which violate quantum mechanical coherence. We discuss how these limits might be improved in the future, and consider the relative significance of other successful tests of quantum mechanics. Finally, an appendix contains model estimates of the magnitude of effects violating quantum mechanics.},
doi = {10.1016/0550-3213(84)90053-1},
journal = {Nuclear Physics. B},
number = 2,
volume = 241,
place = {United States},
year = {1984},
month = {7}
}

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