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Exact Wave-Like Solution

James Hill
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James Hill: University of South Australia

Chapter Chapter 5 in Mathematics of Particle-Wave Mechanical Systems, 2022, pp 149-162 from Springer

Abstract: Abstract In this and the following two chapters, we consider in some detail an exact relativistic wave-like solution for the proposed model that is defined by Eqs. ( 3.4 ). We seek a formal mathematical solution of ( 3.4 ) for which the forces f and g and particle energy e are all functions of the particle velocity u only. In this chapter we present the major solution details and some implications of the solution. In the following chapter, we focus on the mathematical formalities and present the solution derivation and the evaluation of various integrals for the de Broglie wave energy. The chapter thereafter deals with Lorentz invariances and functional dependence of the linear forces f and g.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19793-2_5

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DOI: 10.1007/978-3-031-19793-2_5

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