1,255 research outputs found
Non-Inertial Frames in Minkowski Space-Time, Accelerated either Mathematical or Dynamical Observers and Comments on Non-Inertial Relativistic Quantum Mechanics
After a review of the existing theory of non-inertial frames and mathematical
observers in Minkowski space-time we give the explicit expression of a family
of such frames obtained from the inertial ones by means of point-dependent
Lorentz transformations as suggested by the locality principle. These
non-inertial frames have non-Euclidean 3-spaces and contain the differentially
rotating ones in Euclidean 3-spaces as a subcase. Then we discuss how to
replace mathematical accelerated observers with dynamical ones (their
world-lines belong to interacting particles in an isolated system) and of how
to define Unruh-DeWitt detectors without using mathematical Rindler uniformly
accelerated observers. Also some comments are done on the transition from
relativistic classical mechanics to relativistic quantum mechanics in
non-inertial frames
Relativistic Generalization of the Post-Prior Equivalence for Reaction of Composite Particles
In the non-relativistic description of the reaction of composite particles,
the reaction matrix is independent of the choice of post or prior forms for the
interaction. We generalize this post-prior equivalence to the relativistic
reaction of composite particles by using Dirac's constraint dynamics to
describe the bound states and the reaction process.Comment: 3 pages in LaTex. Invited talk presented at the Third Joint Meeting
of Chinese Physicists Worldwide in Hong Kong, 2000, to be published in the
proceeding
Two gamma quarkonium and positronium decays with Two-Body Dirac equations of constraint dynamics
Two-Body Dirac equations of constraint dynamics provide a covariant framework
to investigate the problem of highly relativistic quarks in meson bound states.
This formalism eliminates automatically the problems of relative time and
energy, leading to a covariant three dimensional formalism with the same number
of degrees of freedom as appears in the corresponding nonrelativistic problem.
It provides bound state wave equations with the simplicity of the
nonrelativistic Schroedinger equation. Unlike other three-dimensional
truncations of the Bethe-Salpeter equation, this covariant formalism has been
thoroughly tested in nonperturbatives contexts in QED, QCD, and nucleon-nucleon
scattering. Here we continue the important studies of this formalism by
extending a method developed earlier for positronium decay into two photons to
tests on the sixteen component quarkonium wave function solutions obtained in
meson spectroscopy. We examine positronium decay and then the two-gamma
quarkonium decays of eta_c, eta'_c, chi_0c, chi_2c, and pi-zero The results for
the pi-zero, although off the experimental rate by 13%, is much closer than the
usual expectations from a potential model.Comment: 4 pages. Presented at Second Meeting of APS Topical Group on Hadron
Physics, Nashville, TN, Oct 22-24. Proceedings to be published by Journal of
Physics (UK), Conference Serie
Horace W. Slocum Journals - Accession 23
The Horace W. Slocum Journals include handwritten and typewritten accounts of Mr. Slocum’s journeys through South Carolina, North Carolina, Pennsylvania, Virginia, New York, Illinois, New Hampshire, and other states in search of rocks and minerals. Of special interest are photographs and maps of geological and mining sites in the typewritten, edited version of the journals. There is also a map index. The journals extend mainly from 1938 to 1956.https://digitalcommons.winthrop.edu/manuscriptcollection_findingaids/1037/thumbnail.jp
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