English

The Born Oscillator

Quantum Physics 2023-09-06 v1

Abstract

The paper studies the properties of an oscillator whose Hamiltonian is [(1+q2)(1+p2)]1/21[(1+q^2)(1+p^2)]^{1/2}-1. It can be deduced from the nonlinear theory of electrodynamics originally proposed by Max Born in 1934. The quantization of such oscillator represents a possible regularization of the Barry and Keating's Hamiltonian, which has been proposed in the framework of the theory of non-trivial zeros of the Riemann's ζ\zeta function.

Cite

@article{arxiv.2309.01227,
  title  = {The Born Oscillator},
  author = {Gianni Coppa},
  journal= {arXiv preprint arXiv:2309.01227},
  year   = {2023}
}
R2 v1 2026-06-28T12:11:35.423Z