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Exact Wave-Like Solution

In: Mathematics of Particle-Wave Mechanical Systems

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  • James Hill

    (University of South Australia)

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.

Suggested Citation

  • James Hill, 2022. "Exact Wave-Like Solution," Springer Books, in: Mathematics of Particle-Wave Mechanical Systems, chapter 0, pages 149-162, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-19793-2_5
    DOI: 10.1007/978-3-031-19793-2_5
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