Journal article
Internal Dynamics of Particlelike Solutions to Nonlinear Field Theories
Journal of mathematical physics, v 8(12), pp 2400-2406
01 Jan 1967
Abstract
We set up a Rayleigh‐Ritz procedure for determining the approximate classical and quantum internal motion of a singularity‐free solution to a nonlinear field theory. The dynamical approximation procedure is applied to the particlelike solutions of a nonlinear model scalar field theory and to the particlelike solutions of a class of nonlinear model scalar‐spinor theories. Dynamically stable, metastable, periodic, and unstable particlelike solutions all follow for certain ranges of the physical parameters from the classical theory, but only corresponding metastable and unstable associated quantum stationary states are obtained for the nonlinear model theories considered here. The functional dependence of the decay constant for the metastable quantum stationary states is such that very long‐lived, practically stable, states are admissible. Group‐theoretic techniques for the systematic derivation of rigorous particlelike solutions are also described and illustrated with examples.
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Details
- Title
- Internal Dynamics of Particlelike Solutions to Nonlinear Field Theories
- Creators
- Gerald Rosen - Drexel UniversityDrexel Inst. of Tech., Philadelphia
- Publication Details
- Journal of mathematical physics, v 8(12), pp 2400-2406
- Publisher
- American Institute of Physics (AIP); WOODBURY
- Number of pages
- 7
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1967A780500014
- Scopus ID
- 2-s2.0-36849098673
- Other Identifier
- 991020705459904721