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 K^{0}K^{0} 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:

 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 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):
 SLACPUB3134
Journal ID: ISSN 05503213; PII: 0550321384900531
 Grant/Contract Number:
 AC0376SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 241; Journal Issue: 2; Journal ID: ISSN 05503213
 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:10.1016/05503213(84)900531.
Ellis, John, Hagelin, John S., Nanopoulos, D. V., & Srednicki, M. Search for violations of quantum mechanics. United States. doi:10.1016/05503213(84)900531.
Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Sun .
"Search for violations of quantum mechanics". United States. doi:10.1016/05503213(84)900531. 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 K0K0 system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 1021 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 = {10.1016/05503213(84)900531},
journal = {Nuclear Physics. B},
number = 2,
volume = 241,
place = {United States},
year = {1984},
month = {7}
}
Web of Science
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