Quantum Physics

    

A Mathematical Description of the Weber Nucleus as a Classical and Quantum Mechanical System

Authors: Urs Frauenfelder, Joa Weber

Wilhelm Weber’s electrodynamics is an action-at-a-distance theory which has the property that equal charges inside a critical radius be- come attractive. Weber’s electrodynamics inside the critical radius can be interpreted as a classical Hamiltonian system whose kinetic energy is, however, expressed with respect to a Lorentzian metric. In this article we study the Schro ̈dinger equation associated with this Hamiltonian system, and relate it to Weyl’s theory of singular Sturm-Liouville problems.

Comments: 26 Pages. Anal. Math. Phys. 14, 31 (2024). https://doi.org/10.1007/s13324-024-00891-5

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[v1] 2022-07-08 01:07:02
[v2] 2024-04-02 00:50:51

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