Comments on Nonlinear Wave Equations as Models for Elementary Particles

1964/09/01 by G. H. Derrick · 26 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum Mechanics and Applications #Nonlinear Photonic Systems

paper · pdf · doi:10.1063/1.1704233

Abstract

It is shown that for a wide class of nonlinear wave equations there exist no stable time-independent solutions of finite energy. The possibility is considered whether elementary particles might be oscillating solutions of some nonlinear wave equation, in which the wavefunction is periodic in the time though the energy remains localized.

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