J
J.B. French
Researcher at University of Rochester
Publications - 14
Citations - 917
J.B. French is an academic researcher from University of Rochester. The author has contributed to research in topics: Hamiltonian (quantum mechanics) & Spontaneous symmetry breaking. The author has an hindex of 12, co-authored 14 publications receiving 834 citations. Previous affiliations of J.B. French include National Autonomous University of Mexico.
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Validity of random matrix theories for many-particle systems
TL;DR: The assumption of statistical independence of matrix elements leads to ensembles of Hamiltonians which involve simultaneous interactions between many particles as discussed by the authors, and the resultant (semicircular) spectra are quite different from the Gaussian spectra found for Ensembles properly restricted to involve only two-body interactions.
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Distribution methods for nuclear energies, level densities, and excitation strengths
F.S. Chang,J.B. French,T.H. Thio +2 more
TL;DR: The centroid energies and widths for configurations, both with and without a specification of isospin, are given in compact forms in which the various terms have a clear physical significance as discussed by the authors.
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Some random-matrix level and spacing distributions for fixed-particle-rank interactions
TL;DR: In this paper, ensemble spectra are given for random matrices constrained to describe κ-body interactions in f7 and the transition from semicircular to Gaussian, as κ decreases, is demonstrated.
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Statistical properties of many-particle spectra V. Fluctuations and symmetries
TL;DR: In this paper, an analysis of spectral and strength fluctuations in the nuclear neutron-resonance and proton resonance regions gives bounds on the symmetry-breaking matrix elements as approximately one-tenth of the local average spacing, which is the global norm of the time-reversal non-invariant (TRI) part of the nucleon-nucleon interaction.
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Strength distributions and statistical spectroscopy. I. General theory
TL;DR: In this paper, the strength distribution for an arbitrary excitation is given in terms of a double expansion, and its sum rules by single expansions, in polynomials defined by the initial and final energy spectra.