A novel approach to the synthesis of nondispersive wave packet solutions to the Klein–Gordon and Dirac equations

DOI10.1063/1.528995zbMath0726.35110OpenAlexW2056071962MaRDI QIDQ3350039

Richard W. Ziolkowski, Amr M. Shaarawi, Ioannis M. Besieris

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528995

zbMATH Keywords

Klein-Gordon equationDirac equationnondispersive solutionspacket solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (6)

A bidirectional wave transformation of the cold plasma equations ⋮ On astigmatic exponentially localized solutions for the wave and the Klein–Gordon–Fock equations ⋮ Nondispersive solutions of the Klein–Gordon equation ⋮ On the possibility of localized wave propagation using a classical two-fluid model of superconductors ⋮ On the evanescent fields and the causality of the focus wave modes ⋮ On quantization of nondispersive wave packets

Cites Work

• Spinor fields with zero mass in unbounded isotropic media
• A bidirectional traveling plane wave representation of exact solutions of the scalar wave equation
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• A space-time representation of a massive, relativistic, spin zero particle

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