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XI.—Reciprocity. Part III: Reciprocal Wave Functions

1940/01/01 by Max Born, Klaus Fuchs · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · Psychology · #Fourier transform #Geometry #Geophysics and Gravity Measurements #Mathematical analysis #Mathematics #Particle Accelerators and Free-Electron Lasers #Philosophy #Physics #Psychology #Quantum mechanics #Reciprocal #Reciprocity (cultural anthropology) #Relativity and Gravitational Theory #Scalar (mathematics) #Social psychology #Theoretical physics #Wave equation #Wave function

paper · doi:10.1017/s0370164600020137

openalex publication_date 1940/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

The attempt to find reciprocal wave functions made in Part II led to some difficulties. We believe that these were due to an incorrect definition of the relativistic scalar product and Fourier coefficient. We shall show in this paper that a modification of these definitions leads to simpler equations, which allow us to determine the reciprocal wave functions and to find a transcendental equation for μ = aε/k , as was envisaged in Part I.

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