Simulation of the hydrogen ground state in Stochastic Electrodynamics

Abstract

Stochastic electrodynamics is a classical theory which assumes that the physical vacuum consists of classical stochastic fields with average energy $\frac{1}{2}\hslash \omega$ in each mode, i.e., the zero-point Planck spectrum. While this classical theory explains many quantum phenomena related to harmonic oscillator problems, hard results on nonlinear systems are still lacking. In this work the hydrogen ground state is studied by numerically solving the Abraham -- Lorentz equation in the dipole approximation. First the stochastic Gaussian field is represented by a sum over Gaussian frequency components, next the dynamics is solved numerically using OpenCL. The approach improves on work by Cole and Zou 2003 by treating the full $3d$ problem and reaching longer simulation times. The results are compared with a conjecture for the ground state phase space density. Though short time results suggest a trend towards confirmation, in all attempted modelings the atom ionises at longer times.

20 pages, 9 figures. Published version, minor changes

References in corpus (1)

• A subquantum arrow of time

Cited by in corpus (6)

• Stochastic Electrodynamics: The Closest Classical Approximation to Quantum Theory
• Testing Quantum Coherence in Stochastic Electrodynamics with Squeezed Schrödinger Cat States
• On the stability of classical orbits of the hydrogen ground state in Stochastic Electrodynamics
• Classical Zero-Point Radiation and Relativity: The Problem of Atomic Collapse Revisited
• Relativity and Radiation Balance for the Classical Hydrogen Atom in Classical Electromagnetic Zero-Point Radiation
• The Role of Vacuum Fluctuations and Symmetry in the Hydrogen Atom in Quantum Mechanics and Stochastic Electrodynamics (SED)