Atomic physics experiments which test a nonlinear generalization of quantum mechanics recently formulated by Weinberg are described. The experiments search for a dependence of hyperfine transition frequencies or nuclear spin precession frequencies on the relative populations of the hyperfine or nuclear spin states. set limits less than 10 pHz on the size of the possible nonlinear contributions to these frequencies. In some cases this can be interpreted as a limit of less than- on the fraction of binding energy per nucleon that could be due to a nonlinear correction to a nuclear Hamiltonian. nonlinear addition to quantum mechanics violates causality is discussed. The experiments The possibility that aAtomic physics experiments which test a nonlinear generalization of quantum mechanics recently formulated by Weinberg are described. The experiments search for a dependence of hyperfine transition frequencies or nuclear spin precession frequencies on the relative populations of the hyperfine or nuclear spin states. set limits less than 10 pHz on the size of the possible nonlinear contributions to these frequencies. In some cases this can be interpreted as a limit of less than- on the fraction of binding energy per nucleon that could be due to a nonlinear correction to a nuclear Hamiltonian. nonlinear addition to quantum mechanics violates causality is discussed. The experiments The possibility that a

Jan 1, 19900 citations

ATOMIC PHYSICS TESTS OF NONLINEAR QUANTUM MECHANICS

J. J. Bollinger, Daniel J. Heinzen, Wayne M. Itano +2 more

Foundations of Quantum MechanicsApr 1, 19921 citation

Precision test of quantum mechanics - our Universe

Julian Georg, C. Rosenzweig

Inflation predicts that quantum fluctuations determine the large scale structure of the Universe. This raises the striking possibility that quantum mechanics, developed to describe nature at short distances, can be tested by studying nature at its most immense -- cosmology. In this note, we realize this possibility. A nonlinear generalization of quantum mechanics modifies predictions for the cosmological power spectrum. Observational cosmology is sufficiently precise to place a stringent limit, $b< 3\times 10^{-34}$ eV, on the size of the nonlinear term.Inflation predicts that quantum fluctuations determine the large scale structure of the Universe. This raises the striking possibility that quantum mechanics, developed to describe nature at short distances, can be tested by studying nature at its most immense -- cosmology. In this note, we realize this possibility. A nonlinear generalization of quantum mechanics modifies predictions for the cosmological power spectrum. Observational cosmology is sufficiently precise to place a stringent limit, $b< 3\times 10^{-34}$ eV, on the size of the nonlinear term.

Apr 19, 20180 citations

ASPECTS OF NONLINEAR QUANTUM MECHANICS

Marek Czachor

Jan 1, 19934 citations

b< 3\times 10^{-34}

eV, on the size of the nonlinear term.